Right Triangle Trigonometry

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Tags

CCSS.4.G.A.2

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 (the side opposite the angle), and the adjacent side (the side next to the angle).

Front

What does SOH stand for in trigonometry?

Back

SOH stands for Sine = Opposite/Hypotenuse.

Tags

CCSS.HSG.SRT.C.8

Front

What does CAH stand for in trigonometry?

Back

CAH stands for Cosine = Adjacent/Hypotenuse.

Tags

CCSS.HSG.SRT.C.8

Front

What does TOA stand for in trigonometry?

Back

TOA stands for Tangent = Opposite/Adjacent.

Tags

CCSS.HSG.SRT.C.8

Front

In a 30-60-90 triangle, what is the ratio of the lengths of the sides?

Back

The ratio is 1 : √3 : 2 (short leg : long leg : hypotenuse).

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle if the short leg is 4?

Back

Multiply the short leg (4) by 2 to get the hypotenuse (8).

Tags

CCSS.8.G.B.8

Front

If the angle C is 30 degrees, what is sinC?

Back

sinC = 1/2.

Tags

CCSS.HSG.SRT.C.7

Front

If the angle C is 30 degrees, what is cosC?

Back

cosC = √3/2.

Tags

CCSS.HSG.SRT.C.7

Front

If the angle C is 30 degrees, what is tanC?

Back

tanC = 1/√3 or √3/3.

Tags

CCSS.HSG.SRT.C.6