Review - Right Triangle Trig.

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): a² + b² = c².

Front

What are the primary trigonometric ratios?

Back

The primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan). They are defined as follows: sin(θ) = opposite/hypotenuse, cos(θ) = adjacent/hypotenuse, tan(θ) = opposite/adjacent.

Front

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

Back

To find the sine of an angle, divide the length of the side opposite the angle by the length of the hypotenuse.

Front

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

Back

To find the cosine of an angle, divide the length of the side adjacent to the angle by the length of the hypotenuse.

Front

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

Back

To find the tangent of an angle, divide the length of the side opposite the angle by the length of the side adjacent to the angle.

Front

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

Back

The sum of the angles in any triangle is 180 degrees. In a right triangle, the two non-right angles must add up to 90 degrees.

Front

If one angle in a right triangle is 30 degrees, what is the other non-right angle?

Back

If one angle is 30 degrees, the other non-right angle must be 60 degrees (90 - 30 = 60).

Front

How do you calculate the height of an object using a right triangle?

Back

To calculate the height, use the sine function: height = hypotenuse × sin(angle).

Front

What is the formula to find the length of the hypotenuse?

Back

To find the length of the hypotenuse, use the formula: hypotenuse = √(a² + b²), where a and b are the lengths of the other two sides.