Triangle Properties and Trigonometric Laws

The video tutorial explains how to find the missing angles and side of a scalene triangle using the laws of cosines and sines. It begins with the problem statement, followed by the application of the law of cosines to find the missing side. Next, the law of sines is used to determine one of the missing angles. Finally, the remaining angle is calculated using the angle sum property of triangles. The tutorial concludes with a summary of the solution and the final answer.

What is the main objective of the video tutorial?

• To find the area of a scalene triangle

• To prove the Pythagorean theorem

• To find the missing angles and side of a scalene triangle

• To calculate the perimeter of a triangle

Which angle is opposite to side a?

• Delta

• Beta

• Alpha

• Gamma

Which angle is opposite to side b?

• Gamma

• Beta

• Alpha

• Delta

Which angle is opposite to side c?

• Beta

• Delta

• Gamma

• Alpha

Which law is used first to find the missing side of the triangle?

• Law of Tangents

• Law of Sines

• Law of Cosines

• Law of Secants

What is the formula for the Law of Cosines used in the video?

• c^2 = a^2 + b^2 - 2ab cos(γ)

• c^2 = a^2 + b^2 + 2ab cos(γ)

• c^2 = a^2 - b^2 - 2ab cos(γ)

• c^2 = a^2 - b^2 + 2ab cos(γ)

What is the value of side 'a' used in the calculation?

• 9.58

• 58

• 8

• 11

What is the approximate value of side c calculated using the Law of Cosines?

• 9.58

• 8.58

• 10.58

• 11.58

What is the cosine of 58 degrees approximately?

• 0.83

• 0.73

• 0.53

• 0.63

What is the approximate value of 176 times 0.53?

• 103.266

• 113.266

• 83.266

• 93.266