Question

the base of a triangle exceeds the height by 8 yards. if the are is 42 square yards, find the length of the base and the heigh of the triangle.

Answer 1

Let h be the height of the triangle. So the base is h + 8
h(h + 8) = 42
\[h^2 + 8h - 42 = 0\]
Solve the quadratic equation

Answer 2

Then reject -ve values