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
5 units 3 units 9 units 8 units

Explanation:

Step1: Substitute the given values into the formula

Given \(A = 30\), \(b=12\), and the formula \(A=\frac{1}{2}bh\). Substitute: \(30=\frac{1}{2}\times12\times h\).

Step2: Simplify the equation

First, calculate \(\frac{1}{2}\times12 = 6\). The equation becomes \(30 = 6h\).

Step3: Solve for \(h\)

Divide both sides of the equation \(30 = 6h\) by \(6\). So, \(h=\frac{30}{6}\).

Answer:

\(5\) units