Question

1. the formula for the area of a triangle is $a=\frac{1}{2}bh$. a. solve the formula for h. b. use the new formula to find the value of h.

Explanation:

Step1: Isolate h in the formula

Given $A=\frac{1}{2}bh$, multiply both sides by 2 to get $2A = bh$. Then divide both sides by b: $h=\frac{2A}{b}$.

Step2: Substitute values to find h

We know $A = 54$ in² and $b=12$ in. Substitute into $h=\frac{2A}{b}$, so $h=\frac{2\times54}{12}$. First, calculate $2\times54 = 108$. Then, $\frac{108}{12}=9$ in.

Answer:

a. $h=\frac{2A}{b}$
b. 9 in