need some help with math

Question

The base of a triangle is 7 inches more than 8 times its height.

The area of the triangle is 1080 square inches.

The base is  and the height is 

Answer 1

The area of a triangle when you know the base and height is given by A = (1/2)bh.

For this problem you are given the base (b) is 7 more than 8 times the height (h).

So,

8h is 8 time the height.

8h + 7 is 7 more than that.

Substituting into the formula:

1080 = (1/2) (8h+7)h

2160 = (8h+7)h Multiply both sides by 2.

2160 = 8h²+7h --distribute the h

8h²+7h-2160=0

(h-16)(8h+135) = 0 (factoring is tedious for this one)

h = 16 or h =-135/8 (reject the latter)

b=8(16)+7

desmos.com/calculator/zsfkibjfvy

The above graph allows you to drag the upper vertex left and right, and the left hand lower vertex the same. This shows that there are infinitely many triangles satisfying the conditions, but they all have the same measures for altitude and base.