Answer:
[tex]Height = 40[/tex]
Step-by-step explanation:
Given
Shape: Triangle
[tex]Area = 10cm^2[/tex]
[tex]Base = \frac{1}{2}cm[/tex]
Required
Determine the height
Area of a triangle is calculated as:
[tex]Area = \frac{1}{2} * Base * Height[/tex]
Substitute values for Area and Base
[tex]10= \frac{1}{2} * \frac{1}{2}* Height[/tex]
[tex]10= \frac{1}{4}* Height[/tex]
Multiply both sides by 4
[tex]4 * 10= 4 * \frac{1}{4}* Height[/tex]
[tex]4 * 10= Height[/tex]
[tex]40= Height[/tex]
[tex]Height = 40[/tex]
Hence, the height is 40cm
