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COMEDK2016MathematicsProperties of Triangles

If the angles of a triangle are in the ratio 3: 4: 5 , then the sides are in the ratio

Options

  1. A3: 4: 5
  2. B2: 3 : 3 +1
  3. C2 : 6 : 3 +1
  4. D2: 6 : 3 +1

Correct answer

D. 2: 6 : 3 +1

Step-by-step solution

Let the angles of triangle are 3 , 4 , 5 . As we know that, A+ B+ C=180^ array ll & 3 +4 +5 =180^ & 12 =180^ =15^ array So, angle are 45^ , 60^ , 75^ . Now, A= 45^ = 1 2 B= 60^ = 3 2 C= 75^ = 3 +1 2 2 So, a: b: c= A: B: C aligned &= 1 2 : 3 2 : 3 +1 2 2 &=2: 6 : 3 +1 aligned

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