PQR is an isosceles triangle such that PQ = QR = 10 cm and Δ PQR = 90ᵒ. What is the perpendicular drawn from Q on PR?

PQR is an isosceles triangle such that PQ = QR = 10 cm and…

PQR is an isosceles triangle such that PQ = QR = 10 cm and Δ PQR = 90^o. What is the perpendicular drawn from Q on PR?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 5 √(2).

Understanding

Application

The perpendicular from Q divides the line segment PR into two equal part.

Length of PR = $\sqrt10$

Length of PS = SR = $5\sqrt2$