What is Pythagoras theorem in simple words?

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2. Nevertheless, the theorem came to be credited to Pythagoras.

How do you memorize Pythagorean triplets?

For example, if we multiply the 3:4:5 ratio by 2, we get the new Pythagorean triple, 6:8:10. Multiples of existing ratios can easily be calculated, so the only triples you need to memorize for the exam are these three unique ratios: 3:4:5, 5:12:13, 8:15:17.

What is the easiest Theorem?

The Hundred Greatest Theorems

1	The Irrationality of the Square Root of 2	500 B.C.
2	Fundamental Theorem of Algebra	1799
3	The Denumerability of the Rational Numbers	1867
4	Pythagorean Theorem	500 B.C.
5	Prime Number Theorem	1896

Why is it called Pythagorean Theorem?

The Pythagorean Theorem is named after Pythagoras of Samos , a mathematician who was also a religious leader, and believed that all things in the universe were composed of numbers. (There are many different ways to prove this.) The hypotenuse of a right triangle is the side opposite the right angle.

Does 12/16 20 Make a right triangle?

There is a fourth category of triangles in which one of interior angles is of 90∘ . It is called right triangle. It can be either be Scalene or Isosceles. 1) 12,16,20 : 202=162+122 : True, hence right triangle.

What is the Pythagorean theorem in geometry?

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 triangles have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

What is the base and hypotenuse of Pythagoras theorem?

“b” is the base, “c” is the hypotenuse. According to the definition, the Pythagoras Theorem formula is given as: Hypotenuse2 = Perpendicular2 + Base2

What is the Pythagorean formula?

Let’s plug those into the Pythagorean Formula. The theorem is named after a Greek mathematician named Pythagoras. He came up with the theory that helped to produce this formula. The formula is very useful in solving all sorts of problems.

What Pythagorean triplets should I memorize for the GMAT?

There aren’t many numbers you need to memorize for success on the GMAT Quantitative section, but knowing a few key Pythagorean triplets will save you a ton of time. First, try these GMAT practice question: remember: no calculator! 1) In right triangle ABC, BC = 48 and AB = 60.