Chapter 2.5, Problem 4STP

For Exercises $1-5,$ choose the correct letter.

A triangle has area $49.5{\text{cm}}^2.$

If the base of the triangle is $9\text{cm}$, what is the height of the triangle?

F. $5.5\text{cm}$

G. $11\text{cm}$

H. $222.75\text{cm}$

I. $445.5\text{cm}$

To determine

To find: height of the triangle

Answer to Problem 4STP

Option G is correct.

Explanation of Solution

Given information: Area of triangle is $49.5{\text{cm}}^2$ and base of the triangle is $9\text{ cm}$ .

 

  $\text{Area of triangle}=\frac{1}{2}\times \text{base}\times \text{height}$

Plugging values above,

  $\begin{array}{l}\text{49}{\text{.5 cm}}^2=\frac{1}{2}\times \text{9 cm}\times \text{height}\\ \text{49}{\text{.5 cm}}^2\times \frac{2}{9\text{ cm}}=\text{height}\\ \text{11 cm}=\text{height}\end{array}$