Question

Help with some math homework? The area of a triangle is 110 square inches. the height of the triangle is 8 less than 3 times its base. what are the height and base of the triangle?

Answer 1

A = h x b; where A = area of a triangle; h = height of the triangle; b = base of the riangle;
So, we have the equation : 110 = (3b - 8)b;
We solve the equation 3b^2 - 8b - 110 = 0;
The positiv solution is b = 7.53 cm;
h = 3 x 7.53 - 8;
h = 14.59 cm;