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 $\frac{1}{2}$. a = □

Explanation:

Step1: Recall joint - variation formula

If a variable \(A\) varies jointly with variables \(b\) and \(h\), the general formula is \(A = kbh\), where \(k\) is the constant of proportionality.

Step2: Substitute the value of \(k\)

Given that \(k=\frac{1}{2}\), we substitute \(k\) into the formula \(A = kbh\).
So, \(A=\frac{1}{2}bh\).

Answer:

\(\frac{1}{2}bh\)