Question

The perimeter of the triangle shown is 30 inches. What is the length of the longest side of the triangle

Answer 1

The length of the longest side of the triangle is 13 inches

Explanation:

step 1

Find the value of x

we know that

The perimeter of triangle is equal to the sum of its three length sides

so

`P=x+(2x+3)+(4x-8)`

`P=(7x-5) \ in`

we have

`P=30\ in`

substitute

`30=(7x-5)`

solve for x

`7x=30+5\\7x=35\\x=5`

step 2

Find the length of the longest side of the triangle

Remember that in a right triangle, the longest side is the hypotenuse

so

(2x+3) is the longest side

substitute the value of x

`2(5)+3=13\ in`