What is the Pythagorean theorem short answer?

What is the Pythagorean theorem short answer?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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

The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle. This theorem is an extremely useful tool that provides the basis for more complex trigonometry theories such as the converse of the Pythagorean theorem.

What is Pythagoras theorem Class 8?

Pythagoras’ theorem states that for all right-angled triangles, ‘The square of the hypotenuse is equal to the sum of the squares of the other two sides’. The hypotenuse is the longest side and it’s always opposite the right angle.

Why is Pythagorean Theorem 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.

What is Pythagorean triples formula?

The general formula for Pythagorean triples can be shown as, a2 + b2 = c2, where a, b, and c are the positive integers that satisfy this equation, where ‘c’ is the “hypotenuse” or the longest side of the triangle and a and b are the other two legs of the right-angled triangle.

What are the different ways to show the Pythagorean theorem?

Choose a scale and indicate it on a sheet of paper.

Pick a starting location and draw the first vector to scale in the indicated direction.

draw the second vector to scale in the indicated direction.

Repeat steps 2 and 3 for all vectors that are to be added

What are some real life uses of the Pythagorean theorem?

Aside from the obvious area of math, the Pythagorean Theorem is utilized by individuals who work in the areas of architecture, design, surveying, drafting, navigation, engineering, and a number of other fields. Architects, carpenters, and contractors use the Pythagorean Theorem on a daily basis.

How can the Pythagorean theorem be used in the real world?

The Pythagorean Theorem is more than just a formula used by engineers and scientists. It is a real world tool that will be used by many different people for many different reasons. Another application of this is to find the distance between two points on a coordinate plane.

What are some real life examples of the Pythagorean theorem?

Real life uses of the Pythagorean Theorem: Navigation- Pythagoras Theorem has it’s real life application in two- dimensional navigation, by which we can find the shortest distance. For example: If you are navigating from one point to any other point, which is 600 miles towards north and 700 miles towards west,…