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

Front

What is the hypotenuse in a right triangle?

Back

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Front

What are the trigonometric ratios for a right triangle?

Back

The primary trigonometric ratios are: Sine (sin) = Opposite/Hypotenuse, Cosine (cos) = Adjacent/Hypotenuse, Tangent (tan) = Opposite/Adjacent.

Front

How do you find the sine of an angle in a right triangle?

Back

Sine of an angle is found by dividing the length of the side opposite the angle by the length of the hypotenuse.

Front

How do you find the cosine of an angle in a right triangle?

Back

Cosine of an angle is found by dividing the length of the side adjacent to the angle by the length of the hypotenuse.

Front

How do you find the tangent of an angle in a right triangle?

Back

Tangent of an angle is found by dividing the length of the side opposite the angle by the length of the side adjacent to the angle.

Front

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

Back

The sum of the angles in any triangle is 180 degrees. In a right triangle, the two non-right angles must sum to 90 degrees.

Front

If one angle in a right triangle is 30 degrees, what is the other non-right angle?

Back

The other non-right angle would be 60 degrees, since 90 + 30 = 120, and 180 - 120 = 60.

Front

What is the opposite side in relation to an angle in a right triangle?

Back

The opposite side is the side that is directly across from the angle in question.