The converse of the Pythagorean Theorem is really cool!

It says that if you have a triangle, and the sides are called (a), (b), and (c), then if (a^2 + b^2 = c^2), that triangle is a right triangle.

Let’s break it down with some simple examples:

1. Example 1:

   • Sides: 3, 4, 5
   • Let's check: (3^2 + 4^2 = 5^2) This means: (9 + 16 = 25) And yes, (25 = 25)
   • So, we have a right triangle!

2. Example 2:

   • Sides: 5, 12, 13
   • Now, let’s check: (5^2 + 12^2 = 13^2) Which means: (25 + 144 = 169) And yes, (169 = 169)
   • So, we have another right triangle!

Understanding this idea helps us find right triangles in real life too.

So keep exploring and have fun with triangles!