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Manipal MET2011MathematicsProperties of Triangles

In A B C , if a=30, b=24,c=18 , then r₃ is equal to

Options

  1. A15
  2. B18
  3. C36
  4. D12

Correct answer

D. 12

Step-by-step solution

Given sides of a triangle are a=30, b=24, c=18 s= a+b+c 2 = 30+24+18 2 =36 Now, = s(s-a)(s-b)(s-c) aligned & = 36(36-30)(36-24)(36-18) & = 36 6 12 18 & = 36 36 36 =216 aligned r₃= s-c = 216 18 =12

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