Question

The area of a traingle is 20 sq cm and its height is 3cm more than the base. calculate the length of the base.​

Answer 1

Answer:

5 cm

Step-by-step explanation:

Let the base of the triangle be x cm.

Given that,

Area of the triangle = 20 cm²

Height of the triangle = x + 3 cm.

Now,

Area of triangle = 1/2 × base × height

20 = 1/2 × x × (x + 3)

20 × 2 = x(x + 3)

40 = x² + 3x

x² + 3x - 40 = 0

x² + 8x - 5x - 40 = 0

x(x + 8) -5(x + 8) = 0

(x - 5)(x + 8) = 0

x - 5 = 0        x + 8 = 0

x = 5               x = -8

There are two posiibilities, but only 5 is correct for the given question as length cannot be in negative(-8).

Therefore, the base of the triangle is 5 cm and the height of the triangle is 5 + 3 = 8 cm.

Hope this helps you!!!!