Exploring the Area of Polygons

What is the formula for the area of a triangle?

• 1/2 base * height

• base + height

• base * height

• 1/4 base * height

How many triangles are used to calculate the area of the pentagon mentioned?

• 8

• 6

• 5

• 4

What is the total area of the octagon if one triangle's area is calculated as 603.5?

• 2414

• 1207

• 603.5

• 4828

How many degrees are there in the sum of all interior angles of a hexagon?

• 180

• 540

• 360

• 720

If a triangle within a hexagon is bisected, what is the measure of each resulting angle?

• 30 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Using trigonometry, how is the side labeled 'X' calculated in a triangle with a 30-degree angle?

• Using cosine function only

• Using division of the base and height

• Using sine or tangent functions

• Using multiplication of the hypotenuse and height

What is the area of a hexagon if one of its triangles has an area of 29.2?

• 175.2

• 29.2

• 146.4

• 58.4

What trigonometric function could be used to find the length of the side opposite to a 22.5-degree angle?

• Sine

• Cosine

• Tangent

• All of the above

If the base of a triangle within an octagon is 5 and the height is 6, what is the area of one triangle?

• 15

• 30

• 10

• 20

What is the total area of an octagon if each of its eight triangles has an area of 15?

• 120

• 240

• 180

• 60