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AP EAMCET202023 Sep 2020Morning ShiftMathematicsProperties of TrianglesActual

If the lengths of the sides of a triangle are 15 , 20 , 25 units. Find the circumradius of the triangle.

Options

  1. A30 units
  2. B7 . 5 units
  3. C12 . 5 units
  4. D20 units

Correct answer

C. 12 . 5 units

Step-by-step solution

Given: The length of the sides of a triangle are 15 ,   20 ,   25 units. Let a = 15 ,   b = 20 ,   c = 25 As we know the circumradius of a triangle with length of sides a ,   b ,   c units is given by, a b c a + b + c a + b - c a + c - b b + c - a = 15 × 20 × 25 15 + 20 + 25 15 + 20 - 25 15 + 25 - 20 20 + 25 - 15 = 15 × 20 × 25 60 × 10 × 20 × 30 = 12 . 5   units .

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