Question

Find the area of a triangular wooden shelf whose perpendicular sides are 48 inches.

• A. $1122i{n}^2$
• B. $2302i{n}^2$
• C. $1152i{n}^2$
• D. $1586i{n}^2$

Answer 1

The correct option is C

$1152i{n}^2$

Area of the shelf is $=\frac{1}{2}\times \text{base}\times \text{height}$

AB and BC are the perpendicular side of the triangle. $\Rightarrow$ ABC is a right angled triangle

$=\frac{1}{2}\times 48\times 48$

$=1152i{n}^2$