AP EAMCET20225 Jul 2022Morning ShiftMathematicsProperties of TrianglesActual

In a A B C , if r₁=36, r₂=18 and r₃=12 , then s=

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Correct answer

D. 36

Step-by-step solution

Given, r₁=36, r₂=18 and r₃=12 We know that, in a A B C 1 r = 1 r₁ + 1 r₂ + 1 r₃ 1 r = 1 36 + 1 18 + 1 12 1 r = 2+4+6 72 r=6 Now, we know that, aligned & ^2=r r₁ r₂ r₃=6 36 18 12 & ^2=6^2 6^2 6^2 aligned =6 6 6=216 Again we know that, r= S = 216 S S= 216 6 =36

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