Question

what is the missing length? area = 48 in² t = inches 12 in

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.

Step2: Identify known values

We know that $A = 48$ in² and $b=12$ in.

Step3: Substitute values into formula

$48=\frac{1}{2}\times12\times t$.

Step4: Simplify the right - hand side

$\frac{1}{2}\times12 = 6$, so the equation becomes $48 = 6t$.

Step5: Solve for $t$

Divide both sides of the equation by 6: $t=\frac{48}{6}=8$.

Answer:

8