Question

The base of a triangle exceeds the night by 7 yards. If the area is 60 squares yards. Find the length of the base and the height of the triangle

Answer 1

Height = 8 yards, base = 15 yards.

Explanation:

Let the height be x yards then the base = x+7 yards.

Area = 1/2 * base * height, so:

1/2 * (x+7) * x = 60

1/2x(x + 7) = 60 Multiply through by 2:

x(x + 7) = 120

x^2 + 7x - 120 = 0

(x - 8)(x +15) = 0

x = 8, -15

x = 8. ( we ignore the negative root).

So the base is 8+7 = 15 yards long.