Learn where the formula of oblique triangles come from

The video tutorial explores the relationship between sine and triangles, focusing on labeling conventions for angles and sides. It explains how to calculate the height and area of triangles using trigonometric functions like sine and cosine. The tutorial emphasizes the flexibility in choosing angles for formulas and provides insight into the origins of these formulas, helping students understand their derivation rather than just memorizing them.

What is the convention for labeling angles and sides in a triangle?

• Angles with lowercase letters, sides with capital letters

• Angles with numbers, sides with lowercase letters

• Angles with capital letters, sides with lowercase letters

• Angles with symbols, sides with numbers

How is the area of a triangle calculated?

• 1/3 base times height

• Base times height

• 1/2 base times height

• Base plus height

In terms of a triangle's sides and angles, how can the height be represented?

• C times the sine of A

• B times the sine of C

• A times the cosine of B

• A times the sine of B

What does the formula 1/2 b * C * sine of A represent?

• The perimeter of a triangle

• The volume of a triangle

• The height of a triangle

• The area of a triangle

Why is it important to understand the relationship between sides and angles in a triangle?

• To memorize the formula

• To apply the formula to any triangle

• To find the hypotenuse

• To calculate the perimeter