Question

The maximum area of a triangle inscribed in a semi-circle having radius $10cm$ is ........... ${cm}^2$.

• A. $10$
• B. $50$
• C. $100$
• D. $200$

Answer 1

The correct option is C $100$

For $△ABC$, inscribed in a semi-circle of radius $10cm$, base $d=2r=20$
Largest altitude that can be drawn will be $10cm$
Area of $ABC=\frac{1}{2}\times base\times altitude=\frac{1}{2}\times 20\times 10=100{cm}^2$