Question

write an equation that relates the quantities. the area a of a triangle varies jointly with the lengths of the base b and the height h. the constant of proportionality is 1/2.

Explanation:

Step1: Recall joint - variation formula

For a quantity $A$ that varies jointly with $b$ and $h$, the general formula is $A = kbh$, where $k$ is the constant of proportionality.

Step2: Substitute the given constant of proportionality

Given that $k=\frac{1}{2}$, the equation becomes $A=\frac{1}{2}bh$.

Answer:

$A=\frac{1}{2}bh$