The area of a triangle is 1,440 cm2. the base of the triangle is 5 times the height. what is the height of the triangle?

24 cm

Step-by-step explanation:

The formula for calculate the area of a triangle is:

Where b is the base and h is the height.

Then if the base of the triangle is 5 times the height:

Substitute the above into the formula and solve for the height. Therefore, you obtain that the height is:

The height of the triangle = 24 cm

Step-by-step explanation:

∵ The area of the triangle = 1/2 × base × height

∵ The length of the base = 5 times the length of the height

Let the length of the height = x, then length of the base = 5x

∴ Area triangle = 1/2 × 5x × x = 2.5 x²

∵ Area of the triangle = 1440 cm²

∴ 2.5 x² = 1440

∴ x² = 1440 ÷ 2.5 = 576

∴ x = √576 = 24 cm

∴ The height of the triangle = 24 cm

answer: howdy

step-by-step explanation:

10 b/c 5*2 =10

step-by-step explanation: