What is the measure of the base of a triangle that has a height of 8 centimeters and an area of 24 square centimeters?

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Answer 1 · 2018-03-29T17:32:27

$6$ $6$ cm.

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:
$a = \frac{1}{2} h b$ $a = 1/2hb$

$\to$ $rarr$ ( $h = height$ $"h = height"$ , $b= base$ $"b= base"$ )

We know:
$a = 24$ $a=24$
$h = 8$ $h = 8$

So we can substitute them in and find $b$ $b$ :
$24 = \frac{1}{2} (8) b$ $24= 1/2(8)b$

Multiply by sides by 2 and then divide:
$24 xx 2 = 1/cancel2(8)b xx cancel 2$
$48 =8b$
$6 = b$

The base of the triangle is $6$ cm.