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Manipal MET2019MathematicsProperties of Triangles

The triangle P Q R of which the angles P, Q , R satisfy P= Q 2 R is

Options

  1. Aequilateral
  2. Bright angled
  3. Cany triangle
  4. Disosceles

Correct answer

D. isosceles

Step-by-step solution

Let sides of a triangle are p, q, r . aligned & Applying sine rule p P = q Q = r R = & P= Q 2 R & q^2+r^2-p^2 2 q r = q 2 r & q^2+r^2-p^2=q^2 r^2=p^2 r=p aligned Triangle is isosceles.

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