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): c² = a² + b².

Front

What is the sine ratio?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse in a right triangle: sin(θ) = Opp/Hyp.

Front

What is the cosine ratio?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle: cos(θ) = Adj/Hyp.

Front

What is the tangent ratio?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle: tan(θ) = Opp/Adj.

Front

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

Back

To find the length of the opposite side, use the formula: Opp = Adj * tan(θ).

Front

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

Back

To find the length of the adjacent side, use the formula: Adj = Opp / tan(θ).

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.

Front

What is the formula to find the hypotenuse using sine?

Back

To find the hypotenuse, use the formula: Hyp = Opp / sin(θ).

Front

What is the formula to find the hypotenuse using cosine?

Back

To find the hypotenuse, use the formula: Hyp = Adj / cos(θ).