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In triangle PQR, PQ = 8 cm, QR = 8 cm, PR = 5 cm.
Meena claims angle P = angle R. Is she correct, and which angle is the smallest?

Class 9Inequalities in a TriangleGeometry — Triangles
  • Aangle P = angle R, and angle Q is smallest
  • Bangle P = angle R, and angle Q is largest
  • Cangle P > angle R, and angle P largest
  • Dall angles equal

Step-by-Step Solution

PQ = QR so the triangle is isosceles with angle P = angle R (angles opposite the equal sides). The shortest side PR (5 cm) is opposite angle Q, so angle Q is the smallest angle.
Answer: A) angle P = angle R, and angle Q is smallest

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