Consider a triangle where all three sides are known, but no angles are known. Is there enough information to find all the angles in the triangle using only the law of sines?

A triangle with sides labeled as a, b, and c.

Yes

Easy

< 1min

Consider a triangle where two of the angles and the side included between them are known. Is there enough information to solve for the remaining sides and angle using just the law of sines?

Easy

< 1min

Find the length of side $a$a using the Law Of Sines.

Write your answer correct to two decimal places.

Easy

2min

Find the value of the acute angle $x$x using the law of sines.

Round your answer to one decimal place.

Easy

3min

Outcomes

M3.N.Q.A.1.A

Choose and interpret the scale and the origin in graphs and data displays.

M3.G.SRT.C.5

Solve triangles.*

M3.G.SRT.C.5.C

Use the Law of Sines and Law of Cosines to solve non-right triangles in a real-world context.

M3.MP1

Make sense of problems and persevere in solving them.

M3.MP2

Reason abstractly and quantitatively.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP4

Model with mathematics.

M3.MP5

Use appropriate tools strategically.

M3.MP6

Attend to precision.

M3.MP7

Look for and make use of structure.

M3.MP8

Look for and express regularity in repeated reasoning.

4.07 Law of sines

Interactive practice questions

Outcomes

M3.N.Q.A.1.A

M3.G.SRT.C.5

M3.G.SRT.C.5.C

M3.MP1

M3.MP2

M3.MP3

M3.MP4

M3.MP5

M3.MP6

M3.MP7

M3.MP8

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