Question

Given: ∆BCA is a right triangle.
Prove: a2 + b2 = c2
Right triangle BCA with sides of length a, b, and c; perpendicular CD forms right triangles BDC and CDA; CD measures h units, BD measures y units, DA measures x units.

The 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 Line Segment BC= a
Line Segment CA= b
Line Segment AB= c
Line Segment CD= h
Line Segment DB= x
Line Segment AD= y
y + x = c
c over a is equal to a over y; c ove

Answer 1

Which is NOT a justification for the proof?
Addition Property of Equality

Pythagorean Theorem

Pieces of Right Triangles Similarity Theorem

Cross Product Property

Answer 2

^^^^^^^^those are the answers