Find X in an Equilateral Triangle with 33cm Perimeter

Question

Below is an equilateral triangle:

If the perimeter of the triangle is 33 cm, then what is the value of X?

00:00 Determine X

00:03 The triangle is equilateral therefore all sides equal X

00:07 The perimeter is equal to the sum of the triangle's sides

00:10 Substitute the appropriate values into the formula and solve

00:14 Isolate X

00:22 Here is the solution

We know that in an equilateral triangle all sides are equal.

Therefore, if we know that one side is equal to X, then all sides are equal to X.

We know that the perimeter of the triangle is 33.

The perimeter of the triangle is equal to the sum of the sides together.

We replace the data:

$x+x+x=33$

$3x=33$

We divide the two sections by 3:

$\frac{3x}{3}=\frac{33}{3}$

$x=11$