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AP EAMCET · Maths · Properties of Triangles

In a triangle ABC, r1cotA2+r2cotB2+r3cotC2=

  1. A s
  2. B 2s
  3. C 3s
  4. D s2
Verified Solution

Answer & Solution

Correct Answer

(C) 3s

Step-by-step Solution

Detailed explanation

Recall that cotA2=ss-a∆ and r1=∆s-a. i.e. r1cotA2+r2cotB2+r3cotC2=∆s-a×ss-a∆+∆s-b×ss-b∆+∆s-c×ss-c∆ =3s
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