Question

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? 12 cm 24 cm 46 cm 60 cm

Answer 1

Answer:24

Explanation:

Just took the test

Answer 2

The area of a triangle with base 'b' and height 'h' is given by the formula:

`A = (1)/(2) bh`

It is given that the area of a triangle is
`1440 cm^2`.

It is given that the base of the triangle is 5 times the height.

So,
`b=5 * h = 5h`

We have to determine the height of the triangle.

Since,
`A = (1)/(2)bh`

`1440 = (1)/(2)(5h)h`

`1440 = (1)/(2)(5h^2)`

`1440 * 2 = 5h^2`

`2880= 5h^2`

`(2880)/(5)= h^2`

`h^2=576`

So,
`h=√(576)`

So, h = 24 cm

Therefore, the height of the triangle is 24 cm.

Option 2 is the correct answer.