Question

A triangle has a perimeter of 72 units, and two of its sides measure x units and 3x units, respectively. Which inequality represents all possible values of x?

Answer 1

Answer: 9 < x < 12

Step-by-step explanation:

This is proof , I got the question wrong originally but since it gives the accurate answer after , this is the correct answer.

Answer 2

`x<18\ units`

Explanation:

Given: Perimeter of triangle= 72 units

Measure of one of the side= x units

Measure of second side = 3x units

We know the perimeter of triangle is equal to sum of all sides.

Now, finding the possible value of x

forming an inequality to determine the value of x

Remember triangle has three sides, however, measure of only two sides are given.

⇒
`x+3x < 72\ units`

⇒
`4x<72\ units`

Dividing both side by 4

⇒
`x < 18`

∴ The inequality to represents all possible values of x is
`x < 18`