Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. a "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 a2 = cd and b2 = ce. We can add the 2 equations to get that a2 + b2 = cd + ce or a² + b2 = c(d + e). From the original diagram we can see that d+e = c, sc a2 + b2 = c(c) or a2 + b2 = c2." Complete Lyndsey's proof by filling in the missing information.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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Need help with the missing information.
Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem.
e
fd
"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, = =-
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 = 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.
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Transcribed Image Text:Lyndsey was using the diagrams and Angle-Angle Triangle Similarity to prove the Pythagorean Theorem. e fd "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, = =- 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 = 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 Sign out enovo
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