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