Understanding the Law of Sines

What does the Law of Sines relate in any triangle?

• The ratio of side lengths to the sine of their opposite angles

• The sum of the angles to 180 degrees

• The difference between the largest and smallest angles

• The product of the side lengths

In the first part of the proof, what is constructed to help establish the Law of Sines?

• A median from one vertex

• An altitude from one vertex

• A perpendicular bisector

• A circumcircle

What is the purpose of constructing an altitude in the proof of the Law of Sines?

• To find the centroid

• To calculate the area of the triangle

• To create two right triangles

• To determine the circumradius

In the second part of the proof, what is the new variable used for the second altitude?

• h

• y

• x

• z

What conclusion is reached at the end of the proof of the Law of Sines?

• The Law of Sines holds for all three sides and angles of any triangle

• The Law of Sines is equivalent to the Pythagorean theorem

• The Law of Sines only applies to right triangles

• The Law of Sines is a special case of the Law of Cosines