# How Does Pythagoras Theorem Work?

## How did Pythagoras come up with the Pythagorean Theorem?

The legend says that when Pythagoras looked at the tiles of Samos’ palace, he saw that the two halves were right triangles.

## Does Pythagorean Theorem work on all triangles?

You can use Pythagoras’ theorem to determine if a triangle has a right angle or not. If a 2 b 2 + c 2 is acute, you can see it in the triangle above.

## Why is Pythagoras theorem true?

The fact that angles in a triangle add up to 180 makes it obvious that it is a square. There are four right triangles with bases and heights. The conclusion is that there is a Pythagorean Theorem.

## Why Pythagorean Theorem is important?

The Greeks proved the existence of numbers that couldn’t be expressed as rational numbers after discovering Pythagoras’ theorem. We are led to a hypotenuse of length if we take the two shorter sides of a right triangle to be 1 and 1.

## Who actually discovered the Pythagorean Theorem?

Evidence shows that the Pythagorean Theorem was found 1000 years before Pythagoras was born.

## Why is the Pythagorean Theorem not a law?

There is a question about why the Pythagorean Theorem isn’t a law. It shouldn’t be a crime to break it. The Pythagorean theorem is not a law in all geometries, so you can break it. It is only true in the two or more dimensions of the geometry.

## Are sides A and B called legs?

The sides near the right angle are known as legs. Side a is the side next to angle B, while side b is the side next to angle A.

## Does 12 16 and 20 make a right triangle?

There are four categories of triangles with one of the interior angles being 90. It’s called the right triangle. It can be either Scalene or the other way around. It’s a right triangle since it’s true.

## What is a leg of a triangle?

One of the sides of the triangle is the leg. The term “leg” is used when referring to a side other than the one opposite the right angle. The legs are referred to as catheti.

## How do you find the missing side using the Pythagorean theorem?

The hypotenuse formula is a combination of the Pythagorean theorem and a solution to the hypotenuse. The square root of the equation a2 + b2 + c2 is used to solve the hypotenuse. When we do that, we get a value of (a2 + b2).

## What are the three formulas of Pythagoras Theorem?

When ‘c’ is hypotenuse of the right triangle and ‘a’ and ‘b’ are the other legs, the Pythagoras equation is expressed as c2 + b2. The Pythagoras equation can be applied to the triangle if it has one angle greater than 90 degrees.

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