Question

what is the missing length? area = 126 mi² t = miles

Explanation:

Step1: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}bh$, where $A$ is the area, $b$ is the base, and $h$ is the height. In this case, the base $b = 14$ miles and the area $A=126$ square - miles, and the height is $t$.

Step2: Substitute values into formula

Substitute $A = 126$ and $b = 14$ into the formula $A=\frac{1}{2}bh$. We get $126=\frac{1}{2}\times14\times t$.

Step3: Simplify the right - hand side

First, simplify $\frac{1}{2}\times14$ to get 7. So the equation becomes $126 = 7t$.

Step4: Solve for $t$

Divide both sides of the equation $126 = 7t$ by 7. $\frac{126}{7}=t$.

Answer:

18