Finding Missing Sides in Right Triangles

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio 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): a² + b² = c².

Front

How do you find the length of a side using the sine ratio?

Back

To find the length of a side using the sine ratio, use the formula: sin(angle) = opposite/hypotenuse.

Front

How do you find the length of a side using the cosine ratio?

Back

To find the length of a side using the cosine ratio, use the formula: cos(angle) = adjacent/hypotenuse.

Front

How do you find the length of a side using the tangent ratio?

Back

To find the length of a side using the tangent ratio, use the formula: tan(angle) = opposite/adjacent.

Front

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

Back

The angles in a right triangle determine the ratios of the lengths of the sides.

Front

What is the purpose of inverse trigonometric functions?

Back

Inverse trigonometric functions are used to find angles when the lengths of the sides are known.

Front

What is the first step in solving for a missing side in a right triangle?

Back

Identify which trigonometric ratio (sine, cosine, or tangent) to use based on the given information.