Question

Justin 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.

Answer 1

Which of these could be a step to prove that BC2= BA2 + CA2?
Answer

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

Segment BD : segment BA = segment BA : segment CA, since triangle ADB is similar to triangle CDA.

Segment BC : segment BA = segment BA : segment BD, since triangle BCA is similar to triangle BAD.

Segment BA : segment DA = segment AC : segment BA, since triangle BCA is similar to triangle BAD.