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…