Chapter 8.2, Problem 60STP

To determine

To find:the height of the given triangle with area $5h$ square centimeters.

Answer to Problem 60STP

Height of the given triangleis $10\text{cm}$ that is option D.

Explanation of Solution

Given information:

A triangle is given as

  

Given option

A. $2\text{cm}$

B. $5\text{cm}$

C. $8\text{cm}$

D. $10\text{cm}$

Formula used:

Area of a triangle is

  $A=\frac{1}{2}\times base\times height$

Calculation:

Consider the given triangle.

  

  $\begin{array}{l}\text{Base}=h\\ \text{Height}=2h\end{array}$

Hence, area can be calculated as

  $\begin{array}{c}A=\frac{1}{2}\times h\times 2h\\ 5h=h^2\\ h=5\end{array}$

Therefore, height of the triangle will be

  $\begin{array}{c}2h=2\times 5\\ =10\text{cm}\end{array}$