Question

16 100 4. Find the height if the area is 70 square meters: h 10 mI need help

Answer 1

Given:

Area of the triangle, A = 70 square meters

Base of the triangle, b = 10 meters

To find the height, h, of the triangle, use the area of the triangle formula below:

$A=\frac{1}{2}\times b\times h$

Rewrite the formula for h:

$\begin{gathered} 2A=b\times h \\ \\ \frac{2A}{b}=\frac{b\times h}{b} \\ \\ \frac{2A}{b}=h \\ \\ h=\frac{2A}{b} \end{gathered}$

To find the height, h, we have the equation:

$h=\frac{2A}{b}$

Input values into the equation:

$h=\frac{2(70)}{10}=\frac{140}{10}=14\text{ }$

Therefore, the height of the triangle is 14 meters

ANSWER:

14 meters