Understanding the side lengths in special triangles called 30-60-90 triangles can be tough.

These triangles have a unique way to find the lengths of their sides. The side ratios are $1:\sqrt{3}:2$. But, figuring this out using the Pythagorean theorem can be tricky.

Here’s a simpler way to break it down:

1. Know the sides of the triangle:

   • Short leg: Let's call it $x$ (the shortest side).
   • Long leg: This is $x\sqrt{3}$ (the side opposite the 60-degree angle).
   • Hypotenuse: This is $2x$ (the longest side).

2. Use the Pythagorean theorem:

   • The formula is $a^2 + b^2 = c^2$. It looks complicated.
   • You can plug in the values of the sides and make it easier to find the unknowns.

With a bit of practice, you’ll get the hang of these triangles and their properties!