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. \bigcirc 3 units \bigcirc 5 units \bigcirc 8 units \bigcirc 9 units

Explanation:

Step1: Substitute known values into formula

We know \( A = 30 \), \( b = 12 \), and the formula \( A=\frac{1}{2}bh \). Substitute these values:
\( 30=\frac{1}{2}(12)h \)

Step2: Simplify the equation

Simplify \( \frac{1}{2}(12) \) to get \( 6 \), so the equation becomes:
\( 30 = 6h \)

Step3: Solve for \( h \)

Divide both sides by 6:
\( h=\frac{30}{6}=5 \)

Answer:

5 units (corresponding to the option "5 units")