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ABCD is a tetrahedron such that each of the `triangleABC`, `triangleABD` and `triangleACD` has a right angle at A. If `ar(triangleABC) = k_(1). Ar(triangleABD)= k_(2), ar(triangleBCD)=k_(3)` then `ar(triangleACD)` is

A

`sqrt(k_1^2+k_2^2+k_3^2)`

B

`sqrt((k_1k_2k_3)/(k_1^2+k_2^2+k_3^2))`

C

`sqrt|(k_1^2+k_2^2-k_3^2)|`

D

`sqrt|(k_1^2-k_2^2-k_3^2)|`

Text Solution

Verified by Experts

The correct Answer is:
(c)
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