Question: What Is Hypotenuse In Math?

How do you find the hypotenuse of a triangle?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

What is the hypotenuse of 5 and 12?

Put another way, if you know the lengths of a and b, you can find c. In the triangle above, you are given measures for legs a and b: 5 and 12, respectively. You can use the Pythagorean Theorem to find a value for the length of c, the hypotenuse. Using the formula, you find that the length of c, the hypotenuse, is 13.

How do you find the hypotenuse example?

Example Question Pythagoras’ Theorem tells us: The square of the hypotenuse is equal to the sum of the squares of the two shorter sides. In this case, this means that h² is equal to 5² + 12². We can now see that the length of the hypotenuse (h) is 13m.

What is 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.

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What is the length of the hypotenuse of the triangle?

The length of the hypotenuse of a right triangle 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.

Does every triangle have a hypotenuse?

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle. The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods.

Does 5 12 and 13 form a right triangle?

The 5 12 13 triangle is an SSS special right triangle with the ratio between its side lengths as 5, 12, and 13. It is a common Pythagorean triple that is worth memorizing to save time when dealing with right triangles. The other common SSS special right triangle is the 3 4 5 triangle.

Does 9 12 and 15 make a right triangle?

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

Does 4 5 6 make right triangles?

The three numbers 4, 5, 6 make a Pythagorean Triple (they could be the sides of a right triangle ).

What is the hypotenuse in right triangle?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.

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What is the Pythagorean theorem used for?

Architecture and Construction. Given two straight lines, the Pythagorean Theorem allows you to calculate the length of the diagonal connecting them. This application is frequently used in architecture, woodworking, or other physical construction projects. For instance, say you are building a sloped roof.

What is a 45 degree triangle?

A 45 °- 45 °-90° triangle is a special right triangle that has two 45 – degree angles and one 90- degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45 °- 45 °-90° right triangle is half of a square.

Why is it called the hypotenuse?

The hypotenuse is the side of a right triangle that’s opposite the 90-degree angle. It’s a term specific to math, specifically geometry. Hypotenuse comes from the Greek word hypoteinousa which means “stretching under.” The hypotenuse “stretches under” the right angle of a triangle, which has an angle of 90 degrees.

What is another word for hypotenuse?

Holonyms for Hypotenuse: right triangle, right-angled triangle.

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