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# 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 = 1/2hb#

#rarr#(#"h = height"#, #"b= base"#)

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

So we can substitute them in and find #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.