Triangle Area and Angle Concepts

The video tutorial explains how to calculate the area of a triangle using the formula: area equals half a b sine c. It covers labeling sides and angles, applying the formula with examples, and finding a missing angle. The tutorial provides step-by-step guidance and concludes with additional resources for further learning.

What is the formula used to calculate the area of a triangle using two sides and the included angle?

• Area = a * b * c

• Area = a + b + c

• Area = a^2 + b^2 - 2ab * cos(C)

• Area = 1/2 * a * b * sin(C)

In the triangle area formula, what do the capital letters represent?

• The base of the triangle

• The height of the triangle

• The angles opposite the sides

• The sides of the triangle

When using the triangle area formula, which angle is used?

• Any angle in the triangle

• The angle opposite the longest side

• The smallest angle in the triangle

• The angle between the two known sides

In the first example, what are the values of sides a and b?

• a = 3, b = 7

• a = 5, b = 4

• a = 7, b = 3

• a = 8, b = 5

What is the angle used in the first example to calculate the area?

• 70 degrees

• 35 degrees

• 30 degrees

• 45 degrees

What is the calculated area of the triangle in the first example?

• 7 units squared

• 5 units squared

• 9.87 units squared

• 11.5 units squared

In the second example, what are the lengths of sides a and b?

• a = 7 cm, b = 3 cm

• a = 6 cm, b = 2 cm

• a = 8 m, b = 5 m

• a = 5 cm, b = 4 cm

What is the angle used in the second example?

• 30 degrees

• 35 degrees

• 70 degrees

• 45 degrees

What is the approximate area of the triangle in the second example?

• 5 units squared

• 7 cm squared

• 9.87 cm squared

• 11.5 cm squared

In the third example, what are the given angles before finding the missing angle?

• 90 degrees and 60 degrees

• 60 degrees and 50 degrees

• 70 degrees and 30 degrees

• 100 degrees and 45 degrees