Chapter 11.2, Problem 24WE

To determine

To determine the area of the given figure.

Answer to Problem 24WE

The area is around 33.96 cm².

Explanation of Solution

Given information :

An isosceles triangle with a ${32}^{\circ }$ vertex angle and a base of 8cm.

Here we shall use the formula,

  $A=\frac{1}{2}ab\sin \theta$

Where a, b are the sides of the triangle and $\theta$ is angle between them.

Hence we put the values we get,

  $\begin{array}{l}A=8\times 8\left(\sin {32}^{\circ }\right)\\ A=64\left(\sin {32}^{\circ }\right)\\ A\approx 33.91\end{array}$

Hence the area is around 33.96 cm².