Question

A triangle has an area of 77 square inches. How do you find the length of the base if the base is 3 inches more than the height?

Answer 1

Answer:

Step-by-step explanation:

Let height of triangle =x inches

base = (x+3) inches

Area of triangle= 1/2 * base * height

= 1/2 * x * (x+3) = (x² + 3x)/2

Now,

(x² + 3x)/2 = 77

x² + 3x = 144

x² + 3x - 144 = 0

Solve it, we get x =10.59 and -13.59

As x cannot be negative i.e. x = 10.59

therefore height of a triangle = 10.59 inches

Length of base = 10.59 + 3 = 13.59 inches