Question

A triangle is cut from a piece of fabric. The triangle has a height of 8 inches in an area of 120 in.². What is the length of the base of the triangle A triangle is cut from a piece of fabric. The triangle has a height of 8 inches in an area of 120 in.². What is the length of the base of the triangle?

Answer 1

30 Inches

Explanation:

First, you must need to do is 120/8, that equals 15. But if you do 15*8, that equals 120 but the formula for finding a triangle's area is

A = 1/2 bh

The base in the problem is 15, the height is 8,

15*8 = 120/2 = 60

60 in not 120 so you must multiply 15 by 2 to get thirty,

15*2 = 30,

30 * 8 = 240/2

= 120

So the length of this triangle is 30 inches.

Answer 2

Answer: 30 inches

Explanation:

Given:

ABC-tringle

BH= 8 in - height

S= 120 in^2

AC-?

Solution:

S=1/2ab

120in=1/2a*8in

120=4a

4a=120

a=30 in