Question

Find the area of the largest triangle that can be inscribed in a semi-circle of radius runits.

Answer 1

Radius of the semi circle r units
When a largest triangle inscribed in a semicircle, then base = r + r = 2r units
Thus, Area of triangle is given by

\[\frac{1}{2} \times \text{ base } \times \text{ height }\]
\[ = \frac{1}{2} \times \left( 2r \right) \times r\]
\[ = r^2 \text{ square units }\]