🐇16.1 Law of Sine AAS ASA

Front

What is the Law of Sines?

Back

The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant for all three sides and angles in the triangle.

Front

How do you apply the Law of Sines?

Back

To apply the Law of Sines, use the formula: (a/sin(A)) = (b/sin(B)) = (c/sin(C)), where a, b, and c are the lengths of the sides opposite angles A, B, and C respectively.

Front

What is the formula for finding an unknown side using the Law of Sines?

Back

To find an unknown side, rearrange the Law of Sines: a = (b * sin(A)) / sin(B).

Front

What is the relationship between angles and sides in a triangle?

Back

In a triangle, larger angles are opposite longer sides, and smaller angles are opposite shorter sides.

Front

What does AAS stand for in triangle solving?

Back

AAS stands for Angle-Angle-Side, a condition where two angles and a non-included side are known.

Front

What does ASA stand for in triangle solving?

Back

ASA stands for Angle-Side-Angle, a condition where two angles and the included side are known.

Front

If angle A = 40° and angle B = 60°, what is angle C?

Back

Angle C = 180° - (A + B) = 180° - (40° + 60°) = 80°.

Front

How do you find the length of a side when given two angles and one side?

Back

Use the Law of Sines: a = (b * sin(A)) / sin(B) to find the unknown side.

Front

What is the sine of 30°?

Back

The sine of 30° is 0.5.

Front

What is the sine of 45°?

Back

The sine of 45° is √2/2 or approximately 0.707.