Question

In the given figure, AB = AC, P, Q and R are mid-points of sides BC, CA and AB, respectively, then ΔPQR is ______.

Options

• scalene

• isosceles

• equilateral

• obtuse angled

Answer 1

In the given figure, AB = AC, P, Q and R are mid-points of sides BC, CA and AB, respectively; then ΔPQR is isosceles.

Explanation:

Since triangle ABC is given as isosceles with AB = AC, the line segments connecting the midpoints form triangle PQR, where sides PQ and PR are equal to half of AB and AC, respectively. Because AB = AC, these two sides of the inner triangle are equal (PQ = PR), which defines an isosceles triangle.