Answer: The height must measure 12 inches.
Explanation:
We know that the area of a triangle is given by :_

Given : The area of a certain triangle is 48 square inches.
The base measures 8 inches.
Now, substitute the values of area and base into the formula , we get

i.e.

Divide 4 on both sides, we get

Hence, the height must measure 12 inches.