Question

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

Answer 1

Answer:

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

Step-by-step 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

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