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.

The value of x = 8

Dimension of the Triangle is

height=10

base=5

Step-by-step explanation:

Given:

Square inches=25

Base of the triangle=x-3

Height of the triangle=x+2

The area of the triangle=1/2*b*h

Therefore:

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=8

Always we ignore the negative value

Therefore X=8

The Dimensions of the Triangle

Base of the triangle=x-3=5

Height of the triangle=x+2=10