How to find the area of an oblique triangle

The video tutorial guides students through solving a triangle problem using trigonometry. It begins by setting up the problem and identifying known values. The teacher applies the triangle angle sum theorem to find a missing angle and uses the sine rule to calculate side lengths. The tutorial emphasizes the importance of using precise values in calculations and demonstrates how to calculate the area of the triangle. The session concludes with verification of results and a discussion on alternative methods.

What theorem is used to find the missing angle in a triangle when two angles are known?

• Pythagorean Theorem

• Triangle Angle Sum Theorem

• Cosine Rule

• Sine Rule

Which trigonometric rule is applied to find the missing side length C?

• Cosine Rule

• Secant Rule

• Tangent Rule

• Sine Rule

Why is it important to use exact values instead of rounded ones in calculations?

• To save time

• To make calculations easier

• To avoid using a calculator

• To ensure accuracy in further calculations

What should you do if you want to use a calculated side length in further calculations?

• Use the rounded value

• Ignore it

• Store the exact value in the calculator

• Recalculate it each time

What is the formula used to calculate the area of a triangle using side lengths and an angle?

• 1/2 * base * height

• 1/2 * a * b * sin(C)

• a^2 + b^2 = c^2

• a * b * c

What is the significance of storing values as Alpha B and Alpha C?

• To make calculations faster

• To ensure the use of exact values

• To avoid using a calculator

• To simplify the problem

How can the method discussed be adapted if different angles and sides are given?

• By using only the cosine rule

• By ignoring the given values

• By rearranging the letters and applying the same method

• By using different formulas