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

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500