Question

The height of a triangle is 3 inches greater than the base. The area of the triangle is 90 square inches. Find the length of the base and the height of the triangle.

Answer 1

The base = 12 ins,

The height = 15 ins, to the nearest hundredth.

Explanation:

Area of a triangle 1/2 * base * height.

If the base is x inches the height is x +3 inches.

So, here we have

90 = 1/2 * x * (x + 3)

x(x + 3) = 180

x^2 + 3x - 180 = 0

(x - 12)(x + 15) = 0

x = 12, -15 (we ignore the negative)

So, the base = 12 ins and height = 12 + 3 = 15 ins .

Answer 2

Explanation:

Here is the sol.....