Right Triangle Trig Practice

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 Pythagorean theorem?

Back

Front

What is the sine ratio in a right triangle?

Back

Front

What is the cosine ratio in a right triangle?

Back

Front

What is the tangent ratio in a right triangle?

Back

Front

How do you find the height of a triangle using trigonometric ratios?

Back

To find the height (h) of a triangle, you can use the sine or cosine ratio depending on the angle and the known side length.

Front

What is the mnemonic to remember trigonometric ratios?

Back

The mnemonic to remember trigonometric ratios is 'Soh Cah Toa', which stands for Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

Front

If sin(30°) = 0.5, what is the opposite side if the hypotenuse is 10?

Back

Using the sine ratio: @@ ext{sin}(30°) = rac{opp}{hyp} ightarrow 0.5 = rac{opp}{10} ightarrow opp = 5@@.

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

How do you solve for a missing angle in a right triangle?

Back

You can use the inverse trigonometric functions (arcsin, arccos, arctan) to find a missing angle if you know the lengths of the sides.