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If the sides of a triangle are in the ra...

If the sides of a triangle are in the ratio `3 : 7 : 8`, then find `R : r`

Text Solution

Verified by Experts

The correct Answer is:
`7 : 2`
Let `a = 3k, b = 7k, c = 8k`. Then,
`s = (1)/(2) (a + b+ c) = 9k`
`rArr (R)/(r) = (abc)/(4 Delta) (s)/(Delta) = (abcs)/(4s(s -a) (s -b) (s-c))`
`= (3k xx 7k xx 8k)/(4 xx 6k xx 2k xx k) = (7)/(2)`
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