The height of a triangle is 7 cm longer than its base. the area of the triangle is 60 cm². what is the base of the triangle?

the base of the triangle is 8 cm

Step-by-step explanation:

Area of a triangle(A) is given by:

          ....[1]

where b is the base and h is the height of the triangle respectively.

As per the statement:

the height of a triangle is 7 cm longer than its base.

⇒

It is also given that: The area of the triangle is 60 cm²

⇒ cm²

Substitute the given values in [1] we have;

Multiply both sides by 2 we have;

or

⇒

Now factorize this equations:

⇒

⇒

By zero product property we have;

b-8 = 0 and b+15 = 0

⇒b = 8 and b = -15

Since, the base of the triangle cannot be in negative.

⇒b = 8 cm

Therefore, the base of the triangle is 8 cm

answer: what

step-by-step explanation: