Understanding Special Right Triangles and Their Applications

What are the angles in a 30-60-90 triangle?

• 90, 90, 90

• 60, 60, 60

• 45, 45, 90

• 30, 60, 90

In a 30-60-90 triangle, if the short leg is x, what is the length of the hypotenuse?

• x

• x/2

• x√3

• 2x

In a 45-45-90 triangle, how do you find the hypotenuse if one leg is known?

• Divide the leg by 2

• Divide the leg by √2

• Multiply the leg by 2

• Multiply the leg by √2

What is the formula for the area of a triangle?

• Base plus height

• Base times height

• One-half base times height

• Base minus height

In an equilateral triangle with side length 8, what is the height?

• 4

• 8√3

• 8

• 4√3

How many equilateral triangles can a regular hexagon be divided into?

• 5

• 3

• 4

• 6

If each side of a regular hexagon is 8, what is the area of one of its equilateral triangles?

• 64√3

• 48√3

• 32√3

• 16√3

What is the total area of a regular hexagon with side length 8?

• 128√3

• 64√3

• 96√3

• 48√3

If the side length of a regular hexagon is 10, what is the area of one equilateral triangle within it?

• 25√3

• 50√3

• 75√3

• 100√3

What is the total area of a regular hexagon with side length 10?

• 150√3

• 250√3

• 200√3

• 100√3