Right Triangle Review

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What are the three sides of a right triangle called?

Back

The three sides are called the opposite side, adjacent side, and hypotenuse.

Front

What is the Pythagorean theorem?

Back

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 (a² + b² = c²).

Front

What is the sine function in relation to a right triangle?

Back

The sine function is the ratio of the length of the opposite side to the length of the hypotenuse (sin(θ) = opposite/hypotenuse).

Front

What is the cosine function in relation to a right triangle?

Back

The cosine function is the ratio of the length of the adjacent side to the length of the hypotenuse (cos(θ) = adjacent/hypotenuse).

Front

What is the tangent function in relation to a right triangle?

Back

The tangent function is the ratio of the length of the opposite side to the length of the adjacent side (tan(θ) = opposite/adjacent).

Front

How do you find the height of an object using trigonometry?

Back

You can find the height using the sine function: height = hypotenuse * sin(θ).

Front

If a right triangle has an angle of 30 degrees, what is the sine of that angle?

Back

sin(30°) = 0.5.

Front

If a right triangle has an angle of 45 degrees, what is the tangent of that angle?

Back

tan(45°) = 1.

Front

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

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.