Understanding 45-45-90 Triangles

45-45-90 triangles can sometimes make the Pythagorean Theorem tricky for students, even though they are quite simple.

1. Getting to Know Ratios:

   • The side lengths follow a special pattern: $1:1:\sqrt{2}$.
   • This can be hard to understand for those who are used to other kinds of ratios.

2. Doing the Math:

   • When you use the Pythagorean Theorem, which is $a^2 + b^2 = c^2$, mistakes can happen.
   • This is especially true when finding the longest side, $c$.

3. Finding Solutions:

   • Getting more comfortable with the specific ratios and practicing problems will help clear up confusion.
   • This will help you master the topic better.