Right Triangle Trig Finding Missing Sides and Angles

Front

What is 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?

Back

The sine function (sin) is a trigonometric function that relates the angle of a right triangle to 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 a trigonometric function that relates the angle of a right triangle to 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 a trigonometric function that relates the angle of a right triangle to the ratio of the length of the opposite side to the length of the adjacent side.

Front

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

Back

Use the Pythagorean theorem or trigonometric ratios (sine, cosine, tangent) depending on the information given.

Front

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

Back

The angles in a right triangle are related to the lengths of the sides through trigonometric ratios.

Front

How do you calculate the angle using the sine function?

Back

To find an angle using the sine function, use the formula: angle = sin⁻¹(opposite/hypotenuse).

Front

How do you calculate the angle using the cosine function?

Back

To find an angle using the cosine function, use the formula: angle = cos⁻¹(adjacent/hypotenuse).

Front

How do you calculate the angle using the tangent function?

Back

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