Answer:
[tex]x = 8[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Determine the value of x
x represents the height of the triangle.
And the area of a triangle is calculated as:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Where
[tex]Base = 4[/tex]
[tex]Area = 16[/tex]
[tex]Height = x[/tex]
The expression becomes
[tex]16 = \frac{1}{2} * 4* x[/tex]
[tex]16 = 2* x[/tex]
[tex]16 = 2x[/tex]
Divide through by 2
[tex]8 = x[/tex]
[tex]x = 8[/tex]
