Answer: The height must measure 12 inches.
Step-by-step explanation:
We know that the area of a triangle is given by :_
\(A=\dfrac{1}{2}\text{base * height}\)
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
\(48=\dfrac{1}{2}\times8\times \text{height}\)
i.e. \(48=4\times \text{height}\)
Divide 4 on both sides, we get
\(\text{height}=12\text{ inches}\)
Hence, the height must measure 12 inches.
