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If the angles of a triangle are in the ratio 1:1:2, the triangle is a/an:

  • A.Acute-angled isosceles
  • B.Obtuse-angled isosceles
  • C.Right-angled isosceles
  • D.Equilateral

Answer: C

Let the angles be x, x, and 2x.

Sum of angles = x + x + 2x = 180°

4x = 180°

x = 45°

The angles are 45°, 45°, and 2x = 90°.

Since two angles are equal (45°), the triangle is isosceles.

Since one angle is 90°, the triangle is right-angled.

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