Similar Triangle Problems II
<p><a href="https://www.prepswift.com/quizzes/quiz/prepswift-similar-triangle-problems-ii" target="_blank">Similar Triangle Problems II Exercise</a></p><p><strong><span style="color:#8e44ad;">Similar Triangles can be Sneaky</span></strong> in that they can show up in unexpected places.</p>
<p><strong><span style="color:#27ae60;">Example 1</span></strong></p>
<p>For example, below you will see three triangles: the <span style="color:#2980b9;">smallest</span> one, the <span style="color:#27ae60;">medium-sized</span> one, and the <span style="color:#9b59b6;">largest</span> one. These three triangles are similar to one another (all have the same angles).</p>
<p>Can you figure out why?</p>
<center><svg height="189.33570861816406" style="
width:661.8285522460938px;
height:189.33570861816406px;
background: #FFF;
fill: none;
" width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M31,19 L215.6,168.26 L31,168.26 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M31,158.46 L40.8,158.46 L40.8,168.26" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M31,19 L115.46,87.29 L31,87.29 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: rgb(74, 144, 226); fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M31,19 L161.7,124.68 L31,124.68 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M31,114.88 L40.8,114.88 L40.8,124.68" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M31,77.49 L40.8,77.49 L40.8,87.29" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M238,18 L422.6,167.26 L238,167.26 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M238,157.46 L247.8,157.46 L247.8,167.26" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M238,18 L322.46,86.29 L238,86.29 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M238,18 L368.7,123.68 L238,123.68 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: rgb(184, 233, 134); fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M238,113.88 L247.8,113.88 L247.8,123.68" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M238,76.49 L247.8,76.49 L247.8,86.29" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M453,18 L637.6,167.26 L453,167.26 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: rgb(231, 116, 255); fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M453,157.46 L462.8,157.46 L462.8,167.26" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M453,18 L537.46,86.29 L453,86.29 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M453,18 L583.7,123.68 L453,123.68 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M453,113.88 L462.8,113.88 L462.8,123.68" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M453,76.49 L462.8,76.49 L462.8,86.29" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M238,86.29 L322.46,86.29" stroke-dasharray="" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g></g></g><g></g><g></g><g></g></svg> <svg height="187.50714111328125" style="width:660px;height:187.50714111328125px;font-family:Asana-Math, Asana;background:#FFF;" width="660" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"></svg> </svg></center>
<p><strong><span style="color:#27ae60;">Example 2 </span></strong></p>
<p>This is a problem from ETS GRE Big Book. In order to solve it, you have to recognize that you're looking at similar triangles. Can you solve it?</p>
<center><svg height="188.16429138183594" style="
width:661.8285522460938px;
height:188.16429138183594px;
background: #FFF;
fill: none;
" width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><image height="165.60000610351562" preserveaspectratio="none" width="361.5999755859375" x="152" xlink:href="data:image/png;base64,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" xmlns:xlink="http://www.w3.org/1999/xlink" y="7.399993896484375"></image></g><g></g></g><g></g><g></g><g></g></svg> <svg height="186.33570861816406" style="width:660px;height:186.33570861816406px;font-family:Asana-Math, Asana;background:#FFF;" width="660" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"></svg> </svg></center>
<p><strong><span style="color:#27ae60;">Example 3</span></strong></p>
<p>Below you're looking at THREE similar triangles. Can you figure out why?</p>
<center><svg height="169.99285888671875" style="
width:661.8285522460938px;
height:169.99285888671875px;
background: #FFF;
fill: none;
" width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M242.83,7.98 L422.59,151.64 L243.59,152.57 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M243.59,152.57 L313.43,64.69" stroke-dasharray="" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M243.56,140.17 L255.96,140.15 L255.99,152.55" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="composite-shape"><path class="real" d=" M305.64,74.34 L295.99,66.55 L303.78,56.9" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g></g></g><g></g><g></g><g></g></svg> <svg height="168.16429138183594" style="width:660px;height:168.16429138183594px;font-family:Asana-Math, Asana;background:#FFF;" width="660" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"></svg> </svg></center>
<p><strong><span style="color:#27ae60;">Example 4</span></strong></p>
<p>This example really only makes sense once you study circles and inscribed angles. Until that time, you can ignore this one.</p>
<p>Look at the diagram below. Can you calculate the measure of line segment $AE$? </p>
<p>Believe it or not, you can! Use similar triangles to solve for it. </p>
<center><svg height="191.82142639160156" style="
width:661.8285522460938px;
height:191.82142639160156px;
background: #FFF;
fill: none;
" width="661.8285522460938" x="0" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" y="0"> <svg class="role-diagram-draw-area" xmlns="http://www.w3.org/2000/svg"><g class="shapes-region" style="stroke: black; fill: none;"><g class="composite-shape"><path class="real" d=" M253.19,100.7 C253.19,57.78 287.98,22.99 330.9,22.99 C373.81,22.99 408.6,57.78 408.6,100.7 C408.6,143.61 373.81,178.4 330.9,178.4 C287.98,178.4 253.19,143.61 253.19,100.7 Z" style="stroke-width: 1; stroke: rgb(0, 0, 0); fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M330.9,22.99 L401.6,131.4" stroke-dasharray="" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g class="arrow-line"><path class="connection real" d=" M387.6,47.4 L270.6,150.4" stroke-dasharray="" style="stroke: rgb(0, 0, 0); stroke-width: 1; fill: none; fill-opacity: 1;"></path></g><g></g></g><g></g><g></g><g></g></svg> <svg height="189.99285888671875" style="width:660px;height:189.99285888671875px;font-family:Asana-Math, Asana;background:#FFF;" width="660" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g><g><g><g transform="matrix(1,0,0,1,365.91424560546875,56.914276123046875)"><path d="M462 224C462 345 355 366 308 374C388 436 418 482 418 541C418 630 344 689 233 689C165 689 120 670 72 622L43 498L74 498L92 554C103 588 166 622 218 622C283 622 336 569 336 506C336 431 277 368 206 368C198 368 187 369 174 370L159 371L147 318L154 312C192 329 211 334 238 334C321 334 369 281 369 190C369 88 308 21 215 21C169 21 128 36 98 64C74 86 61 109 42 163L15 153C36 92 44 56 50 6C103 -12 147 -20 184 -20C307 -20 462 87 462 224Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,364.91424560546875,111.91427612304688)"><path d="M459 253C459 366 378 446 264 446C216 446 180 443 127 396L127 605L432 604L432 689L75 690L75 322L95 316C142 363 169 377 218 377C314 377 374 309 374 201C374 90 310 25 201 25C147 25 97 43 83 69L37 151L13 137C36 80 48 48 62 4C90 -11 130 -20 173 -20C301 -20 459 89 459 253Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,304.91424560546875,105.91427612304688)"><path d="M168 345C127 326 110 315 88 294C50 256 30 211 30 159C30 56 113 -20 226 -20C356 -20 464 82 464 206C464 286 427 329 313 381C404 443 436 485 436 545C436 631 365 689 259 689C140 689 53 613 53 508C53 440 80 402 168 345ZM284 295C347 267 385 218 385 164C385 80 322 14 241 14C156 14 101 74 101 167C101 240 130 286 204 331ZM223 423C160 454 128 494 128 544C128 610 176 655 247 655C320 655 368 607 368 534C368 477 343 438 278 396Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,342.91424560546875,73.91427612304688)"><path d="M221 334L338 334L470 330L489 375L485 382C404 378 344 376 266 376L229 376L276 646C308 647 391 650 413 650C475 650 516 641 517 626L525 537L549 537C552 601 559 651 570 689C549 691 519 692 501 692C498 692 487 692 463 691L343 690C334 689 160 691 150 691L105 692L102 664L156 662C180 661 191 653 191 635C191 621 187 589 182 559L95 55C91 37 79 30 35 23L30 -3L71 -2C102 -1 164 0 184 0L409 -3C423 -3 448 -2 481 -1L514 0L518 36C520 56 525 86 534 135L539 161L512 161L496 101C486 65 477 53 455 48C435 44 362 39 308 39C267 39 240 40 171 46Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,325.91424560546875,18.914276123046875)"><path d="M567 55C567 39 552 30 524 28L480 25L480 -3C582 0 582 0 602 0C622 0 622 0 724 -3L724 25L698 28C651 35 650 35 642 80L555 705L509 705L136 112C100 56 82 40 48 32L28 27L28 -3C120 0 120 0 140 0C159 0 161 0 247 -3L247 25L195 28C179 29 164 38 164 47C164 55 171 69 190 102L292 277L538 277L563 89L563 86C563 84 567 69 567 55ZM496 601L533 313L317 313Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,391.91424560546875,43.914276123046875)"><path d="M543 227C543 337 459 353 377 365C434 385 459 397 490 425C536 464 559 511 559 562C559 644 501 692 401 692C399 692 389 692 374 691L311 690C299 689 263 689 251 689C232 689 201 690 152 691L100 692L97 664L150 662C174 661 185 653 185 635C185 621 181 589 176 559L89 55C85 37 73 30 31 23L26 -3L63 -2C90 0 105 0 117 0C128 0 154 -1 180 -2L217 -3L237 -4C256 -5 269 -6 277 -6C392 -6 543 87 543 227ZM166 41L217 340L302 340C405 340 455 298 455 211C455 108 382 34 282 34C228 34 207 38 166 41ZM352 655C433 655 473 619 473 544C473 439 399 376 275 376L223 376L272 650C288 650 329 655 352 655Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,406.91424560546875,140.91427612304688)"><path d="M45 284C45 90 152 -18 343 -18C439 -18 510 5 600 67C600 67 610 103 610 103C610 103 600 110 600 110C506 53 454 35 376 35C219 35 133 131 133 309C133 447 190 653 418 653C489 653 541 639 597 603L597 519L624 519C629 576 637 619 651 665C575 694 518 706 456 706C276 706 45 578 45 284Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g><g><g><g><g transform="matrix(1,0,0,1,254.91424560546875,161.91427612304688)"><path d="M316 -3C388 -3 437 8 489 34C645 114 741 265 741 431C741 529 711 599 650 642C604 675 519 693 424 692L220 689L210 689C201 689 198 689 97 692L94 664L147 662C171 661 182 653 182 635C182 621 178 589 173 559L86 55C81 31 56 29 33 23L28 -3L121 0L176 0C211 0 282 -3 316 -3ZM384 655C566 655 649 579 649 415C649 225 549 41 329 41C285 41 236 46 168 56C168 68 169 75 172 93L268 650C291 650 349 655 384 655Z" fill="rgb(0,0,0)" fill-opacity="1" stroke="rgb(0,0,0)" stroke-opacity="1" stroke-width="8" transform="matrix(0.017,0,0,-0.017,0,0)"></path></g></g></g></g></svg> </svg></center>
<p><a href="/class/sneaky-similar-triangles-solution">Click Here for the solution</a></p>