a2 + b2 = is equal to what?


1st solutions: a2 + b2 = c2 (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. In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

Consider an example

a = 3 and b = 4, then

32 + 42 = c2

9 + 16 = c2

25 = c2

2nd solution:

Consider an algebra formula

(a + b)2 = a2 + 2ab + b2

a2 + b2 = (a + b)2 – 2ab

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