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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)`

Text Solution

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`c^(2) = a^(2) + b^(2)`
Triangle is right angled at vertex C. Hence,
Area of `Delta = (1)/(2) ab`
Also, `Delta^(2) = s (s -a) (s - b) (s -c) = (1)/(4) a^(2) b^(2)`
or `4s (s -a) (s -b) (s-c) = a^(2) b^(2)`
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