Question

Explain Pythagoras theorem with an example

Answer 1

The Pythagorean Theorem is named after the Greek mathematician named Pythagoras who lived around 500 BC. Yes, he's old, but the theorem itself is even older. It is named after him because he is supposedly the first one to prove that the theorem is true. What does this theorem say? The Pythagorean Theorem tells us that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides. In equation form, it is a^2 + b^2 = c^2.
The three letters used in the equation form of the Pythagorean Theorem are specific to right triangles only. A right triangle is a triangle with exactly one right angle measuring 90 degrees. Take a square and cut it diagonally, and you will have two right triangles. The same goes for a rectangle. Cut a rectangle in half diagonally, and you are left with two right triangles. The only criterion for a right triangle is that it has one right angle. Just think right triangle equals right angle.

Answer 2

The square of hypotenuse is equal to sum of sqaures if other two sides.

example:
In ∆ABC, angle B = 90°
AB = 3 cm , BC = 4 cm
AC² (hyp) = AB² + BC²
= 3² + 4²
= 9 +16
=25
AC² = 25
AC = √25 = 5 cm

this is Pythagoras theorem

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