Let ABC, and PQR be two congruent triangles such that ∠A = ∠P = 90 °. If BC = 17 cm, PR = 8 cm, find AB (in cm).
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 15.
Given that
Let ABC, PQR be two congruent triangles
∠A = ∠P = 90 °. If BC = 17 cm, PR = 8 cm
According to the question
BC = QR = 17cm, PR = AC = 8 cm
Similarly, AB = PQ
As we know,
⇒ AB = √(BC2 - AC2)
⇒ AB = √(172 - 82)
⇒ AB = √(289 - 64) = √225 = 15 cm