Law of Sines / Law of Cosines

Front

What is the Law of Sines?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the Law of Cosines?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

When do you use the Law of Sines?

Back

The Law of Sines is used when you have either two angles and one side (AAS or ASA) or two sides and a non-included angle (SSA).

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

When do you use the Law of Cosines?

Back

The Law of Cosines is used when you have either two sides and the included angle (SAS) or all three sides (SSS) of a triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

Find the measure of angle H if side lengths are given: a=10, b=8, c=6.1.

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

Find the measure of angle F if side lengths are given: a=5, b=7, c=4.

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

What is the formula for finding the area of a triangle using the Law of Sines?

Back

Tags

CCSS.HSG.SRT.D.9

Front

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

Back

The Law of Sines shows that larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Front

If a triangle has angles A=30°, B=60°, and C=90°, what can you say about the sides?

Back

The side opposite the largest angle (C) is the longest, and the side opposite the smallest angle (A) is the shortest.

Tags

CCSS.HSG.CO.C.10

Front

How do you find a missing side using the Law of Cosines?

Back

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11