# What is the length of the hypotenuse of a right triangle if the two other sides are of lengths 5 and 11?

This is a job for the Pythagorean Theorem.

The Pythagorean Theorem takes the length of any two sides of a right triangle and tells you the length of the remaining side.

Simplify.

By signing up, you agree to our Terms of Service and Privacy Policy

To find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's denote the lengths of the two sides as (a = 5) and (b = 11), and the length of the hypotenuse as (c).

According to the Pythagorean theorem:

[c^2 = a^2 + b^2]

[c^2 = 5^2 + 11^2]

[c^2 = 25 + 121]

[c^2 = 146]

To find the length of the hypotenuse (c), we take the square root of both sides:

[c = \sqrt{146}]

Using a calculator, we find that (c \approx 12.083).

So, the length of the hypotenuse of the right triangle is approximately 12.083 units.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- How do you evaluate #sin(0)#?
- How do you find the exact sine value of the angle in standard position whose terminal side goes through the point (-1, 5)?
- If #log_12 27 = a#, then what is #log_6 16#?
- If a,b, and c are the lengths of the sides of a right Triangle and a=2, b=5, how do you find c?
- How do you evaluate #tan 42.4#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7