Law of Sines Practice

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides: Sin(A)/a = Sin(B)/b = Sin(C)/c.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

Given A=65, C=65, a=12, find B, b, and c.

Back

B=50, b=10.1, c=12.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

If A=40, B=20, and a=2, what are C, b, and c?

Back

C=120, b=1.06, c=2.69.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the value of AC if the options are 12, 10, 23, 14?

Back

AC=14.

Tags

CCSS.HSG.SRT.B.4

Front

What is the formula to find the area of a triangle using the Law of Sines?

Back

Area = (1/2) * a * b * Sin(C).

Tags

CCSS.HSG.SRT.D.9

Front

If a triangle has angles A, B, and C, what is the sum of these angles?

Back

The sum of the angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is the relationship between the sides and angles in a triangle according to the Law of Sines?

Back

The sides opposite larger angles are longer, and the sides opposite smaller angles are shorter.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

How do you find an unknown angle using the Law of Sines?

Back

Rearrange the Law of Sines: Sin(A)/a = Sin(B)/b, then use inverse sine to find the angle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the sine of 90 degrees?

Back

Sin(90°) = 1.

Tags

CCSS.HSG.SRT.C.7

Front

If A=30 degrees and a=10, what is the length of side a if B=60 degrees?

Back

Using the Law of Sines, a = (10 * Sin(60°)) / Sin(30°) = 17.32.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11