-->

Introduction To Three Dimensional Geometry

Question

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

3x²/2

x³/8

x²/2

πx²

Solution

x²/2

area space equals space 1 half space straight x squared space sin space straight theta straight A subscript max space equals space 1 half space straight x squared space open parentheses at space sin space straight theta space equals 1 comma space straight theta space equals straight pi over 2 close parentheses