Calculate Triangle Height X: Area 20 and Base 5 Problem

Question

Calculate X using the data in the figure below.

00:00 Find X

00:03 Use the formula for calculating triangle area

00:06 (base times height) divided by 2

00:09 Substitute appropriate values according to the given data and solve for X

00:13 Isolate X

00:16 And this is the solution to the question

The formula to calculate the area of a triangle is:

(side * height descending from the side) /2

We place the data we have into the formula to find X:

$20=\frac{AB\times AC}{2}$

$20=\frac{x\times5}{2}$

Multiply by 2 to get rid of the fraction:

$5x=40$

Divide both sections by 5:

$\frac{5x}{5}=\frac{40}{5}$

$x=8$