Question

The area of a triangle is 1,4440 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle?

Answer 1

Answer:

h = 24 cm

Step-by-step explanation:

The formula for area of a triangle is

A = (1/2)bh     where b is the base and h is the height.

We are told that the base is 5 times the height, this translates to

b = 5h, so we can rewrite our formula to

A = (1/2)(5h)(h)  or

A = (1/2)5h²

We are given A = 1,440, so plug that in and solve for h...

1,440 = (1/2)5h²

    2,880 = 5h²    (multiply both sides by 2 to get rid of the fraction)

      576 = h²    (divide both sides by 5 to get the h value by itself)

         24 = h     (take the square root of both sides)