If the area of a certain triangle is 48 square inches and the base measures 8 inches then the height must measure ___ inches.

Question

asked Apr 17, 2018 177k views

2 Answers

Amacleod · Answer 1 · 2018-04-22T03:34:41+0000

Answer: The height must measure 12 inches.

Explanation:

We know that the area of a triangle is given by :_

$A=(1)/(2)\text{base * height}$

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

$48=(1)/(2)*8* \text{height}$

i.e.
$48=4* \text{height}$

Divide 4 on both sides, we get

$\text{height}=12\text{ inches}$

Hence, the height must measure 12 inches.