# How do you find the missing side of a right triangle with hypotenuse?

## How do you find the missing side of a right triangle with hypotenuse?

How to find the sides of a right triangle

1. if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² – b²)
2. if leg b is unknown, then. b = √(c² – a²)
3. for hypotenuse c missing, the formula is. c = √(a² + b²)

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

Hypotenuse calculator The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras’ theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .

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)

Is Sohcahtoa only for right triangles?

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.

## What is the hypotenuse of 6 and 8?

For example a right triangle with legs of length 6 and 8 will have a hypotenuse of 10 (62 + 82 = 102, 36 + 64 = 100).

### How do I 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.

How to find the missing side of the right triangle?

How do you find the missing side of the right triangle with legs: a = 5, b = 12? Use Pythagoras theorem: “The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides” So the hypotenuse of your triangle has length 13. You have probably encountered the 3-4-5 triangle.

How do you find the hypotenuse of a triangle?

If you have an angle and the side opposite to it, you can divide the side length by sin (θ) to get the hypotenuse. Alternatively, divide the length by tan (θ) to get the length of the side adjacent to the angle. How to find the missing side of a right triangle?

## How do you solve a triangle with one side?

To solve a triangle with one side, you also need one of the non-right angled angles. If not, it is impossible: If you have the hypotenuse, multiply it by sin (θ) to get the length of the side opposite to the angle. Alternatively, multiply the hypotenuse by cos (θ) to get the side adjacent to the angle.

### Which is the third side of a right triangle?

Its third side is equal to: The Pythagorean Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides. Here a is equal to 5 and c is equal to 14, so b2 = 14 2 – 5 2 = 171.