Law of Sines, Cosines, and Area of Triangles

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Identify the Law of Sines

• Sin²x + Cos²x =1

• Sin(A)/a = Sin(B)/b = Sin(C)/c

• Sin(A)Sin(B)Sin(C) = 1

• Soh-Cah-Toa

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA

• c² = a² - b² - 2abcosC

• c² = a² + b² - 2abcosC

• (cos A)/a = (cos B)/b

Find Area of ABC

• 223.6 units²

• 73.1 units²

• 52.7 units²

• 3.3 units²

Use the Law of Sines to solve for BC

• 33

• 24

• 12

• 29

solve the triangle:
A=65 C=65 a=12

• B=50, b=9.9, c=12

• B=50, b=10.1, c=12

• B=70, b=12.8, c=12

• B=40 b=11.2, c=12

Use law of Sines to find angle C.

Round your answer to the nearest tenth

Mathematical Equivalence

OFF

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• 1 Triangle

• 2 Triangles

• No Triangles

• 3 Triangles

Two stakes are holding a small blimp in place. Stake A measures an angle of elevation of 49^o and Stake B measures an angle of elevation of 58^o. If the string attached to Stake A has a length of 148 feet, what is the length of the string attached to Stake B?

• 152.7 feet

• 166.3 feet

• 157.3 feet

• 131.7 feet

Use law of Sines to find side c.

Round your answer to the nearest hundredth

Mathematical Equivalence

OFF