Question

The triangle shown below has an area of 16 units^2 squared.

Find the missing length.
x = ______ units

Answer 1

Answer: 8

Explanation:

Answer 2

8 units

Explanation:

Given:

• Base = 4 units
• Height = x units
• Area of triangle = 16 units²

Formula:

`\text{Area of triangle:} \ (1)/(2) * \text{Base} * \text{Height}`

Substitute the base, height and the area of the triangle to determine the measure of the height (x).

`\implies 16 \ \text{units}^(2) = \ (1)/(2) * 4* x`

Simplify the right hand side of the equation.

`\implies 16 \ \text{units}^(2) = \ 2* x`

Divide both sides by 2 to isolate "x".

`\implies \frac{16 \ \text{units} }{2} = (2* x)/(2)`

`\implies 8 \ \text{units} = x`

The measure of the height (x) is 8 units.