What is the longest side of the Pythagorean theorem called?

What is the longest side of the Pythagorean theorem called?

hypotenuse
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

Why is the Pythagorean Theorem used?

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 are the legs of a right triangle?

a and b are the “legs” of the triangle, which are the two sides that make up the 90 degree angle. c is the “hypotenuse” of the triangle, and is the side of the triangle that is opposite the right angle (another way to say a 90º angle is “right angle”). The hypotenuse is also the longest side of the right triangle.

Does Pythagoras work on all sides?

If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!)

What kind of triangle does the Pythagorean theorem work with?

the right triangle
The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.

What is the hypotenuse used for?

The hypotenuse is the longest side of a right triangle. It is also the side opposite the right angle. It is useful in different situations involving the need to find distance or the measure of an angle.

How do you find the shorter side of a triangle?

It can be used to mark out right angles on sports pitches and buildings. To find the hypotenuse, add the squares of the other sides, then take the square root. To find a shorter side, subtract the squares of the other sides, then take the square root.

What is the longest side of triangle?

The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.

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