The area of a triangle is 25 square inches. The base of the triangle is x – 3, and the height is x + 2. Question The area of a triangle is 25 square inches. The base of the triangle is x – 3, and the height is x + 2. Find the value of x, and the dimensions of the triangle. in progress 0 Math Isabella 4 weeks 2021-09-21T08:37:57+00:00 2021-09-21T08:37:57+00:00 1 Answer 0

## Answers ( )

The value of x = 8

Dimension of the Triangle is

height=10

base=5

Step-by-step explanation:Given:

Square inches=25Base of the triangle=x-3Height of the triangle=x+2The area of the triangle=1/2*b*hTherefore:

1/2(x-3)(x+2)=25

1/2(x^2+2x-3x-6)=25

(x^2+2x-3x-6)=50

x^2-x-6=50

x^2-x-6-50=0

x^2-x-56=0

(x+7)(x-8)=0

x=-7 or x=8Always we ignore the negative value

Therefore X=8

The Dimensions of the TriangleBase of the triangle=x-3=5Height of the triangle=x+2=10