Exploring the Area of Polygons

The video tutorial introduces Unit 11, focusing on solids and reviewing the calculation of polygon areas. It covers the area calculation of a right triangle using the Pythagorean theorem, an equilateral triangle using trigonometry, and a regular hexagon by dividing it into triangles. The tutorial emphasizes the importance of understanding these concepts for the unit.

What is the main topic of Unit 11?

• Plasmas

• Gases

• Solids

• Liquids

What formula is used to calculate the area of a right triangle?

• Base times height divided by two

• Length times width

• Base plus height

• Base times height

What theorem is used to find the height in a right triangle when the base and hypotenuse are known?

• Euclidean theorem

• Pythagorean theorem

• Fermat's Last Theorem

• Binomial theorem

What is the height of a right triangle if the base is 5 and the hypotenuse is 13?

• 5

• 13

• 12

• 6

How do you find the height of an equilateral triangle?

• Using the Pythagorean theorem

• Dividing the base by two

• Multiplying the base by two

• Using trigonometry

What is the area of an equilateral triangle with a side length of 6 and a height of approximately 5.20?

• 15.60

• 31.20

• 12.10

• 15.59

How many triangles are used to calculate the area of a regular hexagon?

• 4

• 6

• 8

• 12

What is the area of a regular hexagon with a side length of 8 and a height of approximately 6.93 for each triangle?

• 248.42

• 332.56

• 83.14

• 166.28

What trigonometric function is used to find the height in the hexagon problem?

• Sine

• Cosine

• Tangent

• Cotangent

What is the central angle of each triangle in the hexagon?

• 60 degrees

• 90 degrees

• 30 degrees

• 120 degrees