## How do you find the length of the diagonal of a right-angled triangle?

To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula a2 + b2 = c2, where a and b are the lengths of the perpendicular sides and c is the length of the hypotenuse.

### How do you find the hypotenuse of a right triangle using the Pythagorean theorem?

The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c . Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²) .

#### How do you find the length of a right angled triangle?

Key Takeaways

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
- In a right triangle, one of the angles has a value of 90 degrees.
- The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

**How do I know if I have SOH CAH TOA?**

The hypotenuse is always opposite the right angle. The sine of an angle is equal to the side opposite the angle divided by the hypotenuse….Sohcahtoa Calculator.

Soh… | Sine = Opposite / Hypotenuse |
---|---|

…cah… | Cosine = Adjacent / Hypotenuse |

…toa | Tangent = Opposite / Adjacent |

**Can you use SOH CAH TOA any triangle?**

Q: Is sohcahtoa only for right triangles? A: Yes, it only applies to right triangles. A: They hypotenuse of a right triangle is always opposite the 90 degree angle, and is the longest side.

## How to find the hypotenuse of a triangle?

Find the longest side and label it the hypotenuse.

### Does only a right triangle have a hypotenuse?

The hypotenuse side is opposite to the right angle, which is the biggest angle of all the three angles in a right triangle. Basically, the hypotenuse is the property of only the right triangle and no other triangle. Now, this is better explained when we learn about the right-angled theorem or Pythagoras Theorem or Pythagorean theorem.

#### Is the hypotenuse always the longest side of a triangle?

Thus, in a right triangle, the hypotenuse is always the longest side. The Pythagorean Theorem gives a beautiful relationship between the lengths of the sides in a right triangle: the sum of the squares of the shorter sides is equal to the square of the hypotenuse.

**How do you find the hypotenuse?**

You can find the length of the hypotenuse from two legs or a leg and an angle measure. The Pythagorean Theorem is a formula used to find the length of any of the sides of a right triangle when given two sides. The formula is usually expressed as a^2 + b^2 = c^2, where a and b are the legs, and c is the hypotenuse.

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