If the triangle had a right angle (90°), and you made a square on each of the three sides, then the biggest square had the exact same area as the other two squares put together.
In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Pythagoras Theorem Example:
A “3,4,5” (pythagorean triple) triangle has a right angle in it.
Let’s check if the areas are the same:
\(3^2\) + \(4^2\) = \(5^2\)
Calculating this becomes:
9 + 16 = 25.