Question: given abc is a right triangle prove a2 b2...
Given: ΔABC is a right triangle.
Prove: a2 + b2 = c2
The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles:
|Draw an altitude from point C to|
|y + x = c|
|a2 = cy; b2 = cx|
|a2 + b2 = cy + b2|
|a2 + b2 = cy + cx|
|a2 + b2 = c(y + x)|
|a2 + b2 = c(c)|
|a2 + b2 = c2|
Which is not a justification for the proof? (5 points)
Pieces of Right Triangles Similarity Theorem
Side-Side-Side Similarity Theorem
Addition Property of Equality