RRB NTPC 2014 Paper

Question : 55 of 100

Marks: +1, -0

A triangle is inscribed in a semicircle of radius R. What will be the perimeter of such a triangle which possesses the largest possible area?

Solution:

(4) For largest area, diameter should be the base of the triangle and radius should be its height.

Triangle ABC is the required triangle.

A B=A C=\√{2} R

So, the perimeter

=\√{2} R+\√{2} R+

2 R=2 R+2 \√{2}=2 R(1+\√{2})

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