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Find the value of (a^2+b^2+c^2)/R^2 in a...

Find the value of `(a^2+b^2+c^2)/R^2` in any right-angled triangle.

Text Solution

Verified by Experts

The correct Answer is:
8

Let `angle A = (pi)/(2) rArr a^(2) = b^(2) + c^(2) and 2R = a`
`rArr (a^(2) + b^(2) c^(2))/(R^(2)) = (2a^(2))/(R^(2)) = (2a^(2) xx4)/(a^(2)) = 8`
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