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MHT CET202525 Apr 2025Evening ShiftMathematicsProperties of TrianglesActual

The circumradius of a triangle whose sides are 10 units, 8 units and 6 units is

Options

  1. A4 units
  2. B2 units
  3. C3 units
  4. D5 units

Correct answer

D. 5 units

Step-by-step solution

Circumradius of the triangle with sides 6, 8, and 10. Let a = 6 , b = 8 , and c = 10 . Since a^2 + b^2 = 36 + 64 = 100 and c^2 = 100 , the triangle satisfies a^2 + b^2 = c^2 , making it a right triangle with hypotenuse c . The circumradius of a right triangle is half the hypotenuse: R = c 2 = 10 2 = 5 . The circumradius is 5 units. 5

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