Question

: Give a big
statement of Pythagoras theorem.​

Answer 1

Answer:

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Answer 2

Pythagoras Theorem

Pythagoras Theorem is an important topic in Maths, which explains the relation between the sides of a right-angled triangle. It is also sometimes called the Pythagorean Theorem. The formula and proof of this theorem are explained here with examples. This theorem is basically used for the right-angled triangle and by which we can derive base, perpendicular and hypotenuse formula. Let us learn this theorem in detail here.

Pythagoras Theorem Statement

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

History

The theorem is named after a greek Mathematician called Pythagoras.

Pythagoras Theorem Formula

Hypotenuse2 = Perpendicular2 + Base2  

c2 = a2 + b2  

The side opposite to the right angle (90°)  is the longest side (known as Hypotenuse) because the side opposite to the greatest angle is the longest.