Let ABC and PQR be two congruent triangles such that ∠A = ∠P = 90°. If BC = 13cm and PR = 5cm, find AB.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 12 cm.
Given that
ABC and PQR are two congruent triangles
angle A = angle P = 90°; If BC = 13cm, PR = 5cm,
According to the question
AC = PR = 5 cm (corresponding sides)
BC = 13 cm
In triangle ABC, By the Pythagoras's theorem
AB = √(132 - 52) = √(169 - 25) = √144 = 12 cm