$\triangle P Q R$ has an area of $27 \mathrm{~cm}^{2}$ and a base measuring $6 \mathrm{~cm}$. What is the height, $h$, of $\triangle P Q R$ ?
(A) $9 \mathrm{~cm}$
(B) $18 \mathrm{~cm}$
(C) $4.5 \mathrm{~cm}$
(D) $2.25 \mathrm{~cm}$
(E) $7 \mathrm{~cm}$
The area of a triangle can be calculated using the formula Area $=\frac{1}{2} \times$ base $\times$ height. The area is $27 \mathrm{~cm}^{2}$ and the base measures $6 \mathrm{~cm}$. Substituting these values into the formula, $A=\frac{1}{2} \times b \times h$ becomes $27=\frac{1}{2} \times 6 \times h$ or $27=3 h$. Therefore, $h=9 \mathrm{~cm}$.

ANSWER: (A)