Review Right Triangle Trigonometry Test

Front

What is the definition of a right triangle?

Back

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

Front

What is the Pythagorean theorem?

Back

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

Front

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

Back

The sine of an angle in a right triangle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

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

Back

The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

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

Back

The tangent of an angle in a right triangle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the missing angle in a right triangle?

Back

To find the missing angle, use the fact that the sum of the angles in a triangle is 180 degrees. For a right triangle, the other two angles must sum to 90 degrees.

Front

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

Back

In a right triangle, the larger the angle, the longer the opposite side, and the shorter the adjacent side.

Front

How do you use trigonometric ratios to find a side length?

Back

Use the appropriate trigonometric ratio (sine, cosine, or tangent) based on the known angle and the sides involved.

Front

What is the formula for finding the length of a side using sine?

Back

If you know an angle and the hypotenuse, the length of the opposite side can be found using: opposite = hypotenuse × sin(angle).

Front

What is the formula for finding the length of a side using cosine?

Back

If you know an angle and the hypotenuse, the length of the adjacent side can be found using: adjacent = hypotenuse × cos(angle).