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In a triangle ABC if r(1) = 8, r(2) = 12...

In a `triangle ABC` if `r_(1) = 8, r_(2) = 12` and `r_(3) = 24,` then a =

A

16

B

20

C

12

D

none of these

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AI Generated Solution

To find the value of \( a \) in triangle \( ABC \) given the inradii \( r_1 = 8 \), \( r_2 = 12 \), and \( r_3 = 24 \), we can follow these steps: ### Step 1: Use the formula for the circumradius \( R \) We know that: \[ \frac{1}{R} = \frac{1}{r_1} + \frac{1}{r_2} + \frac{1}{r_3} \] Substituting the values of \( r_1, r_2, \) and \( r_3 \): ...
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Section I - Solved Mcqs
  1. In a triangle ABC , if r(1) =2r(2) =3r(3) , then a:b:c =

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  2. In Delta ABC, if r(1) lt r(2) lt r(3), then find the order of lengths ...

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  3. In a triangle ABC if r(1) = 8, r(2) = 12 and r(3) = 24, then a =

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  4. If I is the incentre of a DeltaABC such that angleA=60^(@), then AI =

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