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TS EAMCET · Maths · Properties of Triangles

In a triangle ABC, if a: b: c=4: 5: 6, then 14Rr1+r2+r3=

  1. A 7164
  2. B 45
  3. C 8184
  4. D 79
Verified Solution

Answer & Solution

Correct Answer

(A) 7164

Step-by-step Solution

Detailed explanation

Given, a:b:c=4:5:6 Therefore, let sides a,b,c is 4x,5x & 6x respectively. ∴s=a+b+c2=4x+5x+6x2=15x2 Area of triangle =∆=ss-as-bs-c =15x2×15x2-4x×15x2-5x×15x2-6x =15x2×7x2×5x2×3x2=15x247…