### How do you find the hypotenuse of a right triangle with two sides?

## How do you find the hypotenuse of a right triangle with two sides?

Right Triangles and the Pythagorean Theorem

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
- The side opposite the right angle is called the hypotenuse (side c in the figure).

## Can you solve a right triangle with two sides?

Step 1 Find which two sides we know – out of Opposite, Adjacent and Hypotenuse. Step 2 Use SOHCAHTOA to decide which one of Sine, Cosine or Tangent to use in this question. Step 3 For Sine calculate Opposite/Hypotenuse, for Cosine calculate Adjacent/Hypotenuse or for Tangent calculate Opposite/Adjacent.

**What is the formula for right triangles?**

The equation of a right triangle is given by a2 + b2 = c2, where either a or b is the height and base of the triangle and c is the hypotenuse. Using the Pythagorean Theorem, finding the missing side of a triangle is pretty simple and easy. The two special right triangles include: 45°; 45°; 90° Triangle.

### What is the formula for the sides of a right triangle?

One of the more famous mathematical formulas is a2 +b2 = c2, which is known as the Pythagorean Theorem . The theorem states that the hypotenuse of a right triangle can be easily calculated from the lengths of the sides. The hypotenuse is the longest side of a right triangle.

### How do you find the missing leg of a triangle?

Missing Leg. Square the lengths of the known leg and the hypotenuse. For example, if the known leg of your right triangle measures 6 inches and the hypotenuse measures 13 inches, square 6 and 13 to get 36 and 169. Subtract the square of the leg from the square of the hypotenuse. In this example, subtract 36 from 169 to get 133.

**How do you find the angle of a right triangle?**

However, if only two sides of a triangle are given, finding the angles of a right triangle requires applying some basic trigonometric functions: for α. sin(α) = a / c so α = arcsin(a / c) (inverse sine) cos(α) = b / c so α = arctan(b / c) (inverse cosine)

#### How do you find the right triangle?

A Right Triangle is identified by one of it’s angles. If one angle in the triangle is a Right Angle (90 degrees) then the triangle is a Right Triangle.

How do you find the hypotenuse of a right triangle with two sides? Right Triangles and the Pythagorean Theorem The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle. The side opposite the right angle is called the…