In triangle ABC, if sin^2 A + sin^2 B = sin^2 C, then t... – Geometry

Geometryhard · Past Paper

In triangle ABC, if sin^2 A + sin^2 B = sin^2 C, then the triangle is:

AEquilateral

BIsosceles

CRight-angled

DObtuse

✓ Correct Answer: C — Right-angled

By Sine rule, a/sin A = b/sin B = c/sin C = 2R. So a^2 + b^2 = c^2, which defines a right triangle.

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