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

What is 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 sine function?

Back

The sine function (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine function?

Back

The cosine function (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent function?

Back

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

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 opposite side using sine?

Back

To find the length of the opposite side, use the formula: opposite = hypotenuse × sin(angle).

Front

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

Back

To find the length of the adjacent side, use the formula: adjacent = hypotenuse × cos(angle).

Front

How do you find the length of the hypotenuse using sine?

Back

To find the length of the hypotenuse, use the formula: hypotenuse = opposite / sin(angle).