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In a !ABC if r(1) = 36 , r(2) = 18 and r...

In a `!ABC` if `r_(1) = 36 , r_(2) = 18` and `r_(3) = 12`, then the area of the triangle , in square units, is

A

216

B

316

C

326

D

none of these

Text Solution

Verified by Experts

We know that
`1/(r_(1))+1/(r_(2))+1/(r_(3))rArr1/36+1/18+1/12=1/rrArrr=6`
Also, `Delta^(2)=rr_(1)r_(2)r_(3)=6xx36xx18xx12`
`rArrDelta=sqrt(6^(2)xx36^(2))=216`
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