Question

Find the area of the largest triangle that can be inscribed in a semicircle of radius r units.

Answer 1

The answer will be r^2.
Here is how.
A semicircle has the largest triangle's base as its diameter, and its perpendicular or height as its radius
∴[tex] \frac{1}{2} *2r*r = r^{2} [/tex]

Answer 2

The base of the triangle will be diameter means 2r
And the height of the triangle will be r.
Area of triangle = 1/2 × base × height
= 1/2 × 2r × r
= r^2