How do you find the length of the opposite side of a right triangle?

Right Triangles and the Pythagorean Theorem

1. 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.
2. The side opposite the right angle is called the hypotenuse (side c in the figure).

How do you find the opposite side of an angle and hypotenuse?

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.

What is the leg of a right triangle?

a and b are the “legs” of the triangle, which are the two sides that make up the 90 degree angle. c is the “hypotenuse” of the triangle, and is the side of the triangle that is opposite the right angle (another way to say a 90º angle is “right angle”). The hypotenuse is also the longest side of the right triangle.

What are the opposite and hypotenuse of a triangle?

Hypotenuse, opposite, and adjacent In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle.

How do you find the adjacent side of a triangle?

Connect that angle to the right angle in the triangle, and that’s the adjacent side. Then you know the hypotenuse (opposite of the right angle) and the adjacent side, so the only other side must be the opposite side. Comment on HappyAnonymous’s post “The problem will say, “relative to angle ___.”

How do you find the hypotenuse of a triangle with one leg?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²) Given angle and one leg. c = a / sin(α) = b / sin(β), from the law of sines. Given area and one leg.

What is the opposite side of a right triangle called?

Hypotenuse, opposite, and adjacent In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. Google Classroom Facebook Twitter