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# What is the length of the hypotenuse if the legs are 9 and 12?

## What is the length of the hypotenuse if the legs are 9 and 12?

The length of the hypotenuse is 15 feet.

## What is the length of the hypotenuse of a right triangle with legs of lengths 8 and 15?

hence the length of the hypotenuse is 17 units.

What is the length of the hypotenuse of a right triangle with legs of 9cm and 12cm?

15cm
The length of the hypotenuse of a right triangle with legs of 9 cm and 12 cm is 15cm.

### How do you find the length of a hypotenuse of a triangle?

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.

### What is the leg 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.

What triangle is formed when the length of its sides is 15 12 and 9 respectively?

Explanation: By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

## What is the hypotenuse of 8 and 15?

Find the length of the hypotenuse of a right triangle whose legs are 8 and 15units in length. Summary: The length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length is 17units.

## How do I find the hypotenuse of a right triangle?

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

How to calculate the hypotenuse of a right triangle?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²) Given angle and one leg. c = a / sin(α) = b / sin(β), from the law of sines. Given area and one leg.

### What is the value of the second leg of a triangle?

The second leg’s length is 12. We’d use the pythagorean theorem to solve for the other leg’s length. As the image suggests, we’d use the theorem, a2 + b2 = c2. If one leg is 9, that’s our a value.

### Which is the longest side of a triangle?

What is the hypotenuse of a triangle A hypotenuse is the longest side of a right triangle. It’s the side that is opposite to the right angle (90°). Hypotenuse length may be found, for example, from the Pythagorean theorem.

Where does the word hypotenuse come from?

The word hypotenuse comes from the Ancient Greek hypoteinousa, meaning ‘stretching under (a right angle)’. This in turn comes from hypo- ‘under’, and teinein ‘to stretch’. Another thing we have to thank the Ancient Greeks for!