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Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. "We can use the Angle-Angle Triangle Similarity Theorem to show that all 3 triangles are similar. Because the triangles are similar, corresponding side lengths are in the same proportion. Because the largest triangle is similar to the smaller triangle, =. C Because the largest triangle is similar to the middle triangle, We can rewrite these equations as a2 = cd and b2 = ce. We can add the 2 equations to get that a2 + b2 = cd + ce or a2 + b2 = a2 + b2 = c(c) or a2 + b2 = c2." c(d + e). From the original diagram we can see that d+ e = c, so

Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. "We can use the Angle-Angle Triangle Similarity Theorem to show that all 3 triangles are similar. Because the triangles are similar, corresponding side lengths are in the same proportion. Because the largest triangle is similar to the smaller triangle, =. C Because the largest triangle is similar to the middle triangle, We can rewrite these equations as a2 = cd and b2 = ce. We can add the 2 equations to get that a2 + b2 = cd + ce or a2 + b2 = a2 + b2 = c(c) or a2 + b2 = c2." c(d + e). From the original diagram we can see that d+ e = c, so

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. "We can use the Angle-Angle Triangle Similarity Theorem to show that all 3 triangles are similar. Because the triangles are similar, corresponding side lengths are in the same proportion. Because the largest triangle is similar to the smaller triangle, =. a Because the largest triangle is similar to the middle triangle, =. We can rewrite these equations as a? = cd and b2 = ce. We can add the 2 equations to get that a2 + b2 = cd + ce or a? + b2 = c(d + e). From the original diagram we can see that d + e = c, so a² + b2 = c(c) or a2 + b2 = c²." Complete Lyndsey's proof by filling in the missing information. • Math symbols • Relations • Geometry • Groups • Trigonometry > Statistics • Series • Greek 立
Transcribed Image Text:Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. "We can use the Angle-Angle Triangle Similarity Theorem to show that all 3 triangles are similar. Because the triangles are similar, corresponding side lengths are in the same proportion. Because the largest triangle is similar to the smaller triangle, =. a Because the largest triangle is similar to the middle triangle, =. We can rewrite these equations as a? = cd and b2 = ce. We can add the 2 equations to get that a2 + b2 = cd + ce or a? + b2 = c(d + e). From the original diagram we can see that d + e = c, so a² + b2 = c(c) or a2 + b2 = c²." Complete Lyndsey's proof by filling in the missing information. • Math symbols • Relations • Geometry • Groups • Trigonometry > Statistics • Series • Greek 立
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