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# Give the statement of Pythagoras Theorem

Pythagoras of Samos is a greek mathematician who stated the relationship between the sides of a right-angled triangle. It was named after him as as ‘Pythagorean theorem’

## Answer: Pythagoras theorem states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the square of the other two sides.

Look at the detailed explanation of the Pythagoras Theorem.

**Explanation:**

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Consider the right triangle ABC, right-angled at C. We know the side opposite to the right angle is the hypotenuse.

According to the theorem,

In the given triangle ABC,** **

we have AB^{2} = BC^{2} + AC^{2}.

Here, AC measuring 'b' units is the base, BC measuring 'a' units is the altitude or the height and AB measuring 'c' units is the hypotenuse.

In short, we also say a^{2} + b^{2} = c^{2}.

We call a, b and c Pythagorean triplets.

Any 3 whole numbers which satisfy the above condition (a^{2} + b^{2} = c^{2}) are called Pythagorean triples.

### The statement of Pythagoras theorem is In a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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