A triangle's height is 10 feet more than its base. If the area of the triangle is 100 square feet, use factoring to find its dimensions.

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

Step-by-step explanation:

Height = base + 10

Area = 100 square ft

Area of a triangle = (1/2) (b) (h)

100 = (1/2) (b) (b + 10)

200 = b (b) + 10b

b (b) + 10b - 200 = 0

b (b) + 20b - 10b - 200 = 0

b (b + 20) - 10 (b + 20) = 0

(b-10) (b+20) = 0

b = 10 (or) b = - 20

Here b is the length and cannot be negative.

So, b = 10ft

h = b + 10

h = 10 + 10

h = 20 ft.

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.