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# Why is the hypotenuse the most important?

## Why is the hypotenuse the most important?

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. There are many practical applications where the need to use a right triangle and the hypotenuse is important.

## What is hypotenuse used for?

The hypotenuse formula is used in a right-angled triangle, to calculate the longest side that is called the hypotenuse. The hypotenuse is always the side that is opposite to the right angle in a right triangle. We use the Pythagoras theorem to find the hypotenuse, and thus the hypotenuse formula.

What do you mean by hypotenuse?

1 : the side of a right-angled triangle that is opposite the right angle. 2 : the length of a hypotenuse.

### How do you find the hypotenuse?

How do I find the hypotenuse of isosceles right triangle?

1. Find the length of one of the non-hypotenuse sides.
2. Square the length of the side.
3. Double the result of the previous step.
4. Square root the result of step 3. This is the length of the hypotenuse.

### Is the hypotenuse always 1?

The hypotenuse of your triangle has one end point located at the center of the circle and the other end point on the circle. Because you are working with the unit circle, your hypotenuse has length 1. Recall that the sine and cosine ratios both involve the length of the hypotenuse in the denominator.

Is the hypotenuse the longest side?

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.

#### What if the hypotenuse is negative?

In quadrant II the hypotenuse and opposite sides are positive and the adjacent side is negative. This means that every trigonometric expression involving an adjacent side is negative. In quadrant IV the hypotenuse and the adjacent sides are positive while the opposite side is negative.

Which is the best definition of hypotenuse?

Define hypotenuse. hypotenuse synonyms, hypotenuse pronunciation, hypotenuse translation, English dictionary definition of hypotenuse. hypotenuse also hy·poth·e·nuse n. Abbr. hyp. The side of a right triangle opposite the right angle.

## Is the hypotenuse opposite or adjacent to the angle?

If the angle you already know is the shortest one, then the shortest side is opposite it. However, if the angle you already know is the medium one, then the shortest side is adjacent to it. The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.

## How big is the hypotenuse of a triangle?

The area of a right triangle is 150 square feet, and its hypotenuse is 25 feet. Each of the other sides is the mean proportional between the hypotenuse and the segment of the hypotenuse adjacent to that side.

Is the square of the hypotenuse equal to the sum?

The theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides. Put your understanding of this concept to test by answering a few MCQs.