Exploring Special Right Triangles

What is required to find an unknown side in a right triangle?

• Two sides and one angle

• Three sides

• One side and one angle

• Two angles

What is the purpose of using special right triangles in geometry?

• To only solve triangles with equal sides

• To simplify the process of solving for unknown sides

• To avoid using trigonometry

• To make solving for unknown sides more complex

What is the smallest angle in a 30-60-90 triangle?

• 45 degrees

• 90 degrees

• 60 degrees

• 30 degrees

What is the hypotenuse in a 30-60-90 triangle proportional to?

• X

• 3X

• 2X

• X/2

Tags

CCSS.6.RP.A.3

How is the long leg of a 30-60-90 triangle related to the short leg?

• Double the length

• Half the length

• √3 times the length

• Equal in length

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

• 30

• 20

• 10

• 15

In a 45-45-90 triangle, what is the relationship between the legs and the hypotenuse?

• Hypotenuse is √2 times a leg

• Legs are equal to the hypotenuse

• Legs are half the hypotenuse

• Legs are √2 times the hypotenuse

What is a characteristic of a 45-45-90 triangle?

• No sides are equal

• Two sides are equal

• Only the hypotenuse is equal to the legs

• All sides are equal

If one leg of a 45-45-90 triangle is 21.2, what is the length of the hypotenuse?

• 15.1

• 29.9

• 42.4

• 30

If the hypotenuse of a 45-45-90 triangle is given as 30, what is the length of one leg?

• 21.2

• 15

• 10

• 30