Question

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:

Which is not a justification for the proof?

Pieces of Right Triangles Similarity Theorem

Side-Side-Side Similarity Theorem

Substitution

Answer 1

Statement Justification
Draw an altitude from point C to Line segment AB
Let segment BC = a
segment CA = b
segment AB = c
segment CD = h
segment DB = y
segment AD = x
y + x = c
c over a equals a over y and c over b equals b over x
a2 = cy; b2 = cx
a2 + b2 = cy + b2
a2 + b2 = cy + cx
a2 + b2 = c(y + x)
a2 + b2 = c(c)
a2 + b2 = c2

Answer 2

i think that formula is based off of the fact that you need to have a right triangle

Answer 3

could u help me?

Answer 4

@ganeshie8

Answer 5

could u help me? @ganeshie8