Answer:
Base = 60inches
Step-by-step explanation:
We don't know the height of the triangle, so let's call it x.
The base is three times the height. So it will be 3x.
The area is 600 square inches. And the Area of a triangle is
1/2 × base × height
600 = 1/2 (3x)(x)
times both sides by2
2•600 = 2•1/2•3x^2
1200 = 3x^2
divide by 3.
1200/3 = 3x^2 /3
400 = x^2
sqrt both sides.
sqrt(400) = sqrt(x^2)
20 = x
x is the height. The height is 20 inches.
The base is 3x= 3(20) = 60inches
