Question

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

Answer 1

1) what tools have you been taught to solve this? trig?

Answer 2

um mmm we went over trig earlier in the year and i know how to apply it but i dont know if thats the tool we will be taught to solve this

Answer 3

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

Answer 4

Addition Property of Equality

Pythagorean Theorem

Pieces of Right Triangles Similarity Theorem

Cross Product Property

Answer 5

those are the possible answers

Answer 6

This is proof number 6 at:
www.cut-the-knot.org/pythagoras/index.shtml
Try to connect that proof to your problem. You will have to connect the justifications.

Answer 7

okay thank you