Question

Identify an inequality you can use to find the possible values of X. Perimeter <51.3 inches

Answer 1

Let's first get the value of x, since it's a right triangle, we use Pythagorean Theorem.

Let's make,

a = 14.2

b = 15.5

c = x

`a^2+b^2=c^2`
`(14.2)^2+(15.5)^2=x^2`
`\text{ x = }\sqrt[]{14.2^2+15.5^2}`
`\text{ x = 21.02}`

Let's try choice c if the inequality fits,

`14.2\text{ }+\text{ 15.5 + x }<\text{ }51.3`
`14.2\text{ }+\text{ 15.5 + 21.02 }<\text{ 51.3}`
`50.72\text{ }<\text{ 51.3}`

The inequality fits, therefore c is the correct answer.