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In the given figure, what is the length of AD in terms of b and c :
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bc b2+c2 -
b2+c2 bc -
√ b2+c2 bc -
bc √ b2+c2 - None of these
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Correct Option: D
In right angle triangle , we know that
| Area of triangle = | 1 | base x height |
| 2 |
| ar(∆ABC) = | 1 | bc ............. ( 1 ) |
| 2 |
| ar(∆ABC) = | 1 | BC × AD = | 1 | √b2+c2× AD ............. ( 2 ) |
| 2 | 2 |
[ By pythagorus theorem , ∴ BC2 = b2 + c2]
| ∴ | 1 | √b2+c2× | AD = | 1 | bc ⇒ AD = | |
| 2 | 2 | √b2+c2 |
