Law of Sine Cosine

Solve each triangle, round to the nearest tenth.

• = 32,a= 11.2 b= 19.8

• = 40 a= 11.2 b= 19.8

• = 32 a= 12.2 b= 19.8

• = 20 a= 11.3 b= 20.0

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Use the Law of Sines to solve for side a.

Round your answer to the nearest hundredth.

Mathematical Equivalence

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

To solve the triangle shown, you would start with which formula?

• Law of Cosines

• Law of Sines

• Heron's Formula

• Triangle sum theorem

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the measure of ∠A

• 18

• 28

• 25

• 24

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

• A
• B
• C
• D

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find AC

• 12

• 10

• 23

• 14

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Calculate the length of AC

• 30

• 24

• 27

• 35

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find AB

• 10.03

• 8.04

• 6.10

• 4.93

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the exact area
of a triangle with two
sides that measure 6 yd
and 2 yd with an included
angle of 10°.

• 1.04 yd²

• 12.0 yd²

• 5.98 yd²

• 3.26 yd²

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CCSS.HSG.SRT.D.9

If you know the lengths of three sides to a triangle, what formula can you use to find an angle measure?

• Law of Sine

• Law of Cosine

• Law of Tangent

• Law of Sign

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11