Solve for X: Finding the Side Length in an Isosceles Triangle with Perimeter 50

Question

Look at the isosceles triangle below:

The perimeter of the triangle is 50.

What is the value of X?

00:00 In an isosceles triangle there is a pair of equal sides

00:03 The perimeter formula of a triangle is the sum of its sides

00:09 Let's substitute the data into the formula

00:16 Let's move terms to the other side

00:24 Let's divide by 2 to isolate the unknown

00:31 And that's the solution!

Since we know the triangle is isosceles, the other side will also be equal to X

Now we can replace the data to calculate X.

The perimeter of the triangle is equal to:

$x+x+5.6=50$

$2x=50-5.6$

$2x=44.4$

We divide both sides by 2:

$\frac{2x}{2}=\frac{44.4}{2}$

$x=22.2$

22.2