Question

he height of the triangle is 15 cm and the base is (45-x) cm. If the area of the triangle is 225 cm2, what is the value of x?

Answer 1

x =15

Explanation:

The area of a triangle is given by

A = 1/2 bh

We know the area=225 and the base= (45-x) and the height =15

Substituting these into the equation

225 = 1/2 (45-x)*15

225 = 15/2 (45-x)

Multiply each side by 2/15

2/15 *225 = 2/15*15/2 (45-x)

30 = 45-x

Subtract 45 from each side

30-45 =45-x-45

-15 = -x

Multiply each side by -1

15=x