Question

the formula for the area of a triangle is $a = \frac{1}{2}bh$, where $b$ is the length of the base and $h$ is the height. find the height of a triangle that has an area of 30 square units and a base measuring 12 units. 3 units 5 units 8 units 9 units

Explanation:

Step1: Substitute given values into formula

Given $A = 30$, $b=12$, and $A=\frac{1}{2}bh$. So, $30=\frac{1}{2}\times12\times h$.

Step2: Simplify the right - hand side

$\frac{1}{2}\times12 = 6$, so the equation becomes $30 = 6h$.

Step3: Solve for h

Divide both sides of the equation by 6: $h=\frac{30}{6}=5$.

Answer:

B. 5 units