Review - Right Triangle Trig.

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the side opposite the right angle and is the longest side of the triangle.

Front

How do you find the cosine of an angle in a right triangle?

Back

Cosine of an angle (C) is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the formula for the Pythagorean theorem?

Back

The formula is a² + b² = c², where c is the length of the hypotenuse.

Front

If one angle in a right triangle is 30°, what is the ratio of the lengths of the sides opposite and adjacent to this angle?

Back

The ratio is 1:√3 for the opposite side to the adjacent side.

Front

How do you calculate the length of the hypotenuse if you know the lengths of the other two sides?

Back

Use the Pythagorean theorem: c = √(a² + b²).

Front

What is the sine of an angle in a right triangle?

Back

Sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

Tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you find the height of a right triangle using trigonometric ratios?

Back

Height can be found using the formula: height = hypotenuse × sin(angle).

Front

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

Back

The sum of the two non-right angles in a right triangle is always 90°.

Front

If the hypotenuse of a right triangle is 10 units and one angle is 60°, what is the length of the side opposite to that angle?

Back

The length of the opposite side is 10 × sin(60°) = 10 × √3/2 = 5√3 units.