For a right triangle, square of hypotenuse equal sum of square each sides

 

Converse of Pythagorean Theorem

The converse of the Pythagorean Theorem helps you to find out if a triangle is right. Basically, the converse states that whenever the sum of the squares of two sides equal to the square of the third side of the triangle, the triangle is a right triangle.

Pythagorean Inequality Theorems

There are two inequality theorems of Pythagoras. These are as follows:

Pythagorean Inequality for Acute Triangles

According to this theorem, a triangle is said to be an acute triangle, if the square of longest side is less than the sum of the squares of two smaller sides.

Pythagorean Inequality for Obtuse Triangles

According to this theorem, a triangle is defined as an obtuse-angled triangle, if the square of longest side is more than the sum of the squares of remaining two smaller sides.