The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is expressed as: \( \sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}} \)

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is expressed as: \( \cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}} \)

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is expressed as: \( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} \)

To find the length of the opposite side, use the formula: \( \text{opposite} = \text{hypotenuse} \times \sin(\theta) \)

To find the length of the adjacent side, use the formula: \( \text{adjacent} = \text{hypotenuse} \times \cos(\theta) \)

To find the length of the opposite side, use the formula: \( \text{opposite} = \text{adjacent} \times \tan(\theta) \)

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. It is expressed as: \( a^2 + b^2 = c^2 \)