Finding the side lengths of a triangle using Trig Ratios

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 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

What are the three primary trigonometric ratios?

Back

The three primary trigonometric ratios are sine (sin), cosine (cos), and tangent (tan).

Front

How is the sine ratio defined in a right triangle?

Back

Sine is defined as the ratio of the length of the opposite side to the length of the hypotenuse.

Front

How is the cosine ratio defined in a right triangle?

Back

Cosine is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

How is the tangent ratio defined in a right triangle?

Back

Tangent is defined as the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the formula to find the length of a side using sine?

Back

The formula is sin(θ) = opposite/hypotenuse.

Front

What is the formula to find the length of a side using cosine?

Back

The formula is cos(θ) = adjacent/hypotenuse.

Front

What is the formula to find the length of a side using tangent?

Back

The formula is tan(θ) = opposite/adjacent.

Front

If angle A is 30 degrees and the hypotenuse is 10, what is the length of the opposite side?

Back

The length of the opposite side is 5 (using sin(30) = opposite/10).