Using the law of sines to solve a triangle with SSA - One Triangle

The video tutorial explains the Law of Sines and demonstrates how to apply it to solve for unknown angles and sides in a triangle. It covers the process of using given ratios to find angle B, calculating angle C using the sum of angles in a triangle, and determining side C using cross multiplication. The tutorial concludes with verifying the results to ensure they make sense within the context of the triangle's properties.

What is the Law of Sines used for in a triangle?

• To find the area of a triangle

• To find the perimeter of a triangle

• To relate the sides and angles of a triangle

• To determine if a triangle is right-angled

What is the first step in solving a proportion using the Law of Sines?

• Subtract the sides

• Divide the angles

• Cross multiply

• Add the angles

How do you find an angle when given its sine value?

• Use the inverse sine function

• Use the tangent function

• Use the cosine function

• Use the inverse cosine function

What is the sum of the angles in a triangle?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

Which side of a triangle is the longest?

• The side opposite the smallest angle

• The side opposite the largest angle

• The side opposite the right angle

• The side opposite the middle angle

What is the purpose of verifying the side lengths and angles of a triangle?

• To ensure the triangle is equilateral

• To confirm the triangle is isosceles

• To check the consistency of the triangle

• To determine if the triangle is scalene

When solving for side C using the Law of Sines, which ratio can be used?

• a over sine of A

• b over sine of B

• c over sine of C

• Any of the above