Chapter 11.8, Problem 2AE

To determine

To Find: The approximate area.

Answer to Problem 2AE

  $223.6sq.units$

Explanation of Solution

Given: $AB=30,\angle C=90,BC=20$

Given: $AB=30,\angle C=90,BC=20$

  

Since it is a right angles triangle.

Using Pythagoras theorem.

  $\begin{array}{l}A{C}^2=A{B}^2-B{C}^2\\ A{C}^2={30}^2-{20}^2\\ AC=\sqrt{900-400}=\sqrt{500}\\ AC=10\sqrt{5}\\ AC=22.36units\end{array}$

Area of triangle.

  $\begin{array}{l}A=\frac{1}{2}\times AC\times BC\\ A=\frac{1}{2}\times 22.36\times 20\\ A=223.6sq.units\end{array}$