Question

PLZ HELP IS URGENT 10PTS

If the perimeter of the triangle shown below is 162 inches, what is the length of the longest side?

Answer 1

first u must find the x
perimeter means total of the three line is 162

Answer 2

Answer: The required length of the longest side is 63 inches.

Step-by-step explanation: Given that the perimeter of the triangle shown is 162 inches.

We are to find the length of the longest side.

From the figure, we note that the lengths of the three sides of the triangle are 7x, 6x and 5x.

Since the perimeter of a triangle is equal to the sum of the lengths of the three sides, so we get

`7x+6x+5x=162\\\\\Rightarrow 18x=162\\\\\Rightarrow x=(162)/(18)\\\\\Rightarrow x=9.`

Therefore, the length of the longest side is given by

`7x=7\timex9=63.`

Thus, the required length of the longest side is 63 inches.