Question

the base of a triangle is 3cm longer than its corresponding height, if the area is 44cm, find the length of the base

Answer 1

Answer:

answer will be 11 cm

Step-by-step explanation:

hope it helps you

Answer 2

Answer:

base = 11 cm, height = 8 cm

Step-by-step explanation:

Let the height of the triangle be x

∴ base = x + 3

Area of a triangle = 1/2 x base x height

∴ 44 = (1/2)  (x + 3) x

88 = (x + 3) x = x² + 3x

x² + 3x - 88 = 0

Factorising it, we get

x² - 8x + 11x - 88 = 0

x(x-8) + 11(x-8) = 0

(x+11)(x-8) = 0

∴ x+11 = 0 OR x-8 = 0

∴ x = -11   OR x = 8

Since the side of a triangle cannot be negative,

∴ x = 8

∴ height = 8

and

base = x + 3 = 8 + 3 = 11