Right Triangle Trigonometry

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What are the sides of a right triangle called?

Back

The sides of a right triangle are called the opposite side, adjacent side, and hypotenuse.

Front

Define the hypotenuse in a right triangle.

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): c² = a² + b².

Front

How do you find the length of the adjacent side using cosine?

Back

The length of the adjacent side can be found using the cosine function: adjacent = hypotenuse × cos(angle).

Front

How do you find the length of the opposite side using sine?

Back

The length of the opposite side can be found using the sine function: opposite = hypotenuse × sin(angle).

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function is the ratio of the length of the opposite side to the length of the adjacent side: tan(angle) = opposite/adjacent.

Front

How do you calculate the angle using the inverse tangent function?

Back

To find the angle, use the inverse tangent function: angle = tan⁻¹(opposite/adjacent).

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Front

How do you round an angle to the nearest tenth?

Back

To round an angle to the nearest tenth, look at the hundredths place; if it's 5 or more, round up.