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If c^(2) = a^(2) + b^(2), then prove tha...

If `c^(2) = a^(2) + b^(2)`, then prove that `4s (s - a) (s - b) (s - c) = a^(2) b^(2)`

A

`s^(4)`

B

`b^(2)c^(2)`

C

`c^(2)a^(2)`

D

`a^(2)b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
If `a, b, c` denote ………
`c^(2)=a^(2)+b^(2) implies lt C = (pi)/(2)`
`:. Delta = (1)/(2) ab sin C = (1)/(2)ab`
`implies sqrt(s(s-a)(s-b)(s-c)) = (ab)/(2)`
`implies 4s(s-a) (s-b) (s-c) = a^(2)b^(2)` .
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