Question

Seth 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







Triangle ADC is similar to triangle BAC by the AA similarity theorem.









Triangle ADB is similar to triangle CDA by the AA similarity theorem.









Triangle ADC is similar to triangle BAC by the SAS similarity theorem.









Triangle ADB is similar to triangle CDA by the SA