right triangle trig - sides and angles

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 does SOH-CAH-TOA stand for in trigonometry?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

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

Back

Cosine of an angle is calculated as the length of the adjacent side divided by the length of the hypotenuse.

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): a² + b² = c².

Front

How can you find the length of a side in a right triangle using the Pythagorean theorem?

Back

To find the length of a side, rearrange the Pythagorean theorem: if you know the lengths of the other two sides, you can solve for the unknown side.

Front

What is the sine of an angle in a right triangle?

Back

Sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the tangent of an angle in a right triangle?

Back

Tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

How do you round a number to the nearest tenth?

Back

To round a number to the nearest tenth, look at the hundredths place; if it is 5 or greater, round up the tenths place by one.

Front

What is the relationship between the sides of a 30-60-90 triangle?

Back

In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2.

Front

What is the relationship between the sides of a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of each leg.