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?

No

A

Yes

B

No

A

Yes

B

Easy

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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?

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

Write your answer correct to two decimal places.

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

Round your answer to one decimal place.

Outcomes

G.SRT.D.10

(+) Prove the laws of sines and cosines and use them to solve problems.

G.SRT.D.11

(+) Understand and apply the law of sines and the law of cosines to find unknown measurements in right and non-right triangles.