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.
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 AB2 = BC2 + AC2.
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 a2 + b2 = c2.
We call a, b and c Pythagorean triplets.
Any 3 whole numbers which satisfy the above condition (a2 + b2 = c2) 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.