Triangle Side Lengths: Solve for X When 2X + 3X + 3.5X = 17

Question

Look at the following triangle:

The perimeter of the triangle is 17.

What is the value of X?

00:00 Determine X

00:03 The perimeter is equal to the sum of the triangle's sides

00:09 Substitute the appropriate values into the formula and solve

00:16 Isolate X

00:25 Here is the solution

We know that the perimeter of a triangle is equal to the sum of all sides together, so we replace the data:

$3x+2x+3.5x=17$

$8.5x=17$

Divide the two sections by 8.5:

$\frac{8.5x}{8.5}=\frac{17}{8.5}$

$x=2$