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?

12cm
24cm
46cm
60cm
PLEASE HURRYYYYYYYYYYYY THANK YOU SO MUCHHHHHHHH

Answer 1

B is the correct answer.

Explanation:

Answer 2

Let x cm be the height of triangle. If the base of the triangle is 5 times the height, then the base is 5x cm.

Find the area of triangle using formula

`A=(1)/(2)\cdot \text{base}\cdot \text{height}.`

Thus,

`1440=(1)/(2)\cdot 5x\cdot x=(5x^2)/(2).`

Solve this equation:

`5x^2=1440\cdot 2,\\ \\5x^2=2880,\\ \\x^2=2880:5=576,\\ \\x=24\ cm.`

Answer: correct choice is B.