Triangle Angle and Side Rules

The video tutorial explains the 5G learning approach, emphasizing problem-solving without predefined paths. It covers methods to calculate triangle areas using base and height or sides and an included angle. It also discusses finding triangle sides using Pythagoras, sine, and cosine rules, and finding angles using trigonometric rules. Practical examples illustrate these concepts, helping students apply them effectively.

What is the main focus of the 5G learning approach discussed in the video?

• Choosing the right method for problem-solving

• Focusing on theoretical knowledge

• Practicing repetitive exercises

• Memorizing formulas

When calculating the area of a triangle, what two measurements are needed if using the basic formula?

• Two angles

• Base and height

• Two sides

• One side and one angle

Which rule is used to find a side in a right-angled triangle when two sides are known?

• Sine rule

• Cosine rule

• Area formula

• Pythagoras' theorem

In a non-right-angled triangle, which rule can be used if you know two sides and the included angle?

• Pythagoras' theorem

• Cosine rule

• Sine rule

• Area formula

What is the cosine rule formula used for finding a side in a triangle?

• a^2 = b^2 + c^2 - 2bc cos A

• a^2 = b^2 + c^2 - 2bc sin A

• a^2 = b^2 + c^2 + 2bc cos A

• a^2 = b^2 - c^2 + 2bc cos A

Which rule is used to find an angle in a triangle when all three sides are known?

• Cosine rule

• Area formula

• Sine rule

• Pythagoras' theorem

What is the relationship between the size of an angle and its opposite side in a triangle?

• The larger the angle, the smaller the opposite side

• The larger the angle, the larger the opposite side

• The size of the angle does not affect the opposite side

• The angle and opposite side are always equal

Which rule can be used to find an angle in a triangle if you know one angle and two sides?

• Cosine rule

• Sine rule

• Pythagoras' theorem

• Area formula

What is the sine rule formula for finding an angle in a triangle?

• a/sin A = b/cos B = c/tan C

• a/cos A = b/cos B = c/cos C

• a/tan A = b/tan B = c/tan C

• a/sin A = b/sin B = c/sin C

If you know two sides and a non-included angle in a triangle, which rule should you use to find the third side?

• Cosine rule

• Sine rule

• Pythagoras' theorem

• Area formula