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A triangular park is enclosed on two sid...

A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. Two having fence are of same length x. The maximum area enclosed by the park is :-

A

`sqrt((x^(3))/8)`

B

`1/2x^(2)`

C

`pix^(2)`

D

`3/2x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given that `AB=AC=x`
We know that area of isosceles triangle is maximum if it is right angled triangle.
`:.` Maximum area of triangle `=1/2 x^(2)`
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