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AP EAMCET202419 May 2024Evening ShiftMathematicsProperties of TrianglesActual

In ABC if B =90^ then 2(r+ R )=

Options

  1. Aa+b
  2. Bb+c
  3. Ca+c
  4. D0

Correct answer

C. a+c

Step-by-step solution

Given, in A B C, B=90^ Since, A a = B b = C c = 1 2 R aligned & (90^ ) b = 1 2 R b=2 R and, r=(s-b) ( B 2 ) & = ( a+b+c 2 -b ) (45^ )= a-b+c 2 & 2 r=a-b+c aligned Now, 2(r+R)=2 r+2 R=a+c .

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