Question

Hillary is using the figure shown below to prove Pythagorean Theorem using triangle similarity.

In the given triangle ABC, angle A is 90o and segment AD is perpendicular to segment BC.



Which of these could be a step to prove that BC2= AB2 + AC2?

Answer 1

Segment AD : segment CD = segment BD : segment AD, since triangle ADB is similar to triangle CDA.

Segment AC : segment DA = segment BC : segment AC, since triangle ABC is similar to triangle DAC.

Segment BC : segment AC = segment AC : segment DC, since triangle ABC is similar to triangle DAC.
Segment BD : segment BA = segment BA : segment CA, since triangle ADB is similar to triangle CDA.

Answer 2

@Mertsj

Answer 3

you there merts?

Answer 4

Yes. I was tutoring. Now she left.

Answer 5

It typically helps in these problems to split the triangles apart and draw them in corresponding positions. Like this:

Answer 6

ok