Right Triangle Trig

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 hypotenuse (the longest side), the opposite side, and the adjacent side.

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

What mnemonic helps remember trigonometric ratios?

Back

The mnemonic 'Soh Cah Toa' helps remember the definitions of sine, cosine, and tangent.

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

If sin(40) = w/28, what is w?

Back

w = 28 * sin(40).

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 adjacent side by the length of the hypotenuse.