Question

Given: ΔABC is a right triangle.
Prove: a2 + b2 = c2

Answer 1

The following two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles:


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

Which is not a justification for the proof?
Pieces of Right Triangles Similarity Theorem
Side-Side-Side Similarity Theorem
Substitution
Addition Property of Equality

Answer 3

I'm thinking the answer is B, but i am not 100% sure. Please someone help me. Thank you!

Answer 4

@AloneS please help me

Answer 5

@eliesaab please help me

Answer 6

@karim728 please help me

Answer 7

please someone help me

Answer 8

http://jwilson.coe.uga.edu/emt668/emt668.student.folders/headangela/essay1/Pythagorean.html

Answer 9

Read the following

Bhaskara's Second Proof of the Pythagorean Theorem

in the above link