AP EAMCET20228 Jul 2022Evening ShiftMathematicsProperties of TrianglesActual

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

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Correct answer

C. 24

Step-by-step solution

Given, in A B C, r₁=12, r₂=18, r₃=36 1 r = 1 r₁ + 1 r₂ + 1 r₃ = 1 12 + 1 18 + 1 36 = 3+2+1 36 aligned & r=6 & ^2=r₁ r₂ r₃=6 12 18 36 & aligned = 6 6 2 6 3 6^2 =216 and r= s s= r = 216 6 =36 . Then, r₂= s-b = 216 36-b 18= 216 36-b 36-b=12 b=24

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