Question

The area of the largest triangle that can be inscribed in a semi-circle whose radius is r cm is

• A. $2r$ cm${}^2$
• B. $r^2$ cm${}^2$
• C. $2r^2$ cm${}^2$
• D. $\frac{1}{4}$$r^2$ cm${}^2$

Answer 1

The correct option is B $r^2$ cm${}^2$

The largest triangle that can be inscribed in the semi-circle will have base as $2r$ and height as $r$.
$\therefore$ Area of triangle $=\frac{1}{2}\times b\times h=\frac{1}{2}\times 2r\times r$
$=r^{2}c{m}^2$