Identifying right triangles can be tricky, especially since they can look different in many ways.

One important rule we use is the Pythagorean Theorem. This rule helps us understand right triangles better. It says that in a right triangle, if you take the longest side (called the hypotenuse, or $c$), its length squared equals the sum of the lengths of the other two sides (called $a$ and $b$), like this:

$$c^2 = a^2 + b^2$$

Even with this rule, it can be hard to tell if a triangle is right-angled, especially in complicated shapes.

Here are some ways to help identify right triangles:

1. Visual Inspection: Sometimes, a triangle might look right-angled just by looking at it. But this can be misleading!

2. Coordinate Geometry: If the triangle is on a graph, checking the slopes to see if they are perpendicular can take a lot of time.

3. Distance Formula: Using the distance formula can make things even more complicated.

To make it easier, we can use some strategies. For example, using tools to check for right angles can help.

Also, practicing problems with coordinate geometry can really boost our skills.