What is the Pythagorean 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.

What is the Pythagorean theorem summary?

The Pythagorean Theorem is a statement about triangles containing a right angle. The Pythagorean Theorem states that: “The area of the square built upon the hypotenuse of a right triangle is equal to the sum of the areas of the squares upon the remaining sides.”

What is the word Pythagorean mean?

: any of a group professing to be followers of the Greek philosopher Pythagoras. Pythagorean. adjective. Definition of Pythagorean (Entry 2 of 2) : of, relating to, or associated with the Greek philosopher Pythagoras, his philosophy, or the Pythagoreans.

Why Pythagorean Theorem is important?

The discovery of Pythagoras’ theorem led the Greeks to prove the existence of numbers that could not be expressed as rational numbers. For example, taking the two shorter sides of a right triangle to be 1 and 1, we are led to a hypotenuse of length , which is not a rational number.

Why is Pythagorean Theorem a theorem?

The Pythagorean equation relates the sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found. Another corollary of the theorem is that in any right triangle, the hypotenuse is greater than any one of the other sides, but less than their sum.

What is the Pythagorean Theorem and what is it used for?

The Pythagorean Theorem is useful for two-dimensional navigation. You can use it and two lengths to find the shortest distance. … The distances north and west will be the two legs of the triangle, and the shortest line connecting them will be the diagonal. The same principles can be used for air navigation.

How does Pythagoras affect us today?

The Pythagorean Theorem has many real-life applications: Rescue workers use the Pythagorean Theorem to find out the length of their ladders, because, when placed against a wall, the ladder, wall, and ground form a right triangle, making it possible for the Pythagorean Theorem to be applied, construction workers and …