Question

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


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

Statement Justification
Draw an altitude from point C to
Let = a
= b
= c
= h
= x
= y
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?

Addition Property of Equality

Pythagorean Theorem

Pieces of Right Triangles Similarity Theorem

Cross Product Property

Answer 1

please answer this question is killing me

Answer 2

PLEASE HELP

Answer 3

@dpaInc

Answer 4

i dont get ur table can u organize it more plz

Answer 5

sure what part are you confused about?

Answer 6

this part

Let = a
= b
= c
= h
= x
= y
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

Answer 7

can u plz separate the statemetn from the justificaiton so i could understand

Answer 8

@andrewratman

Answer 9

Let segment BC = a
segment CA = b
segment AB = c
segment CD = h
segment DB = x
segment AD = y
y + x = c
c over a = a over y
c over b = 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 10

Like that ????? sorry for the late reply