Special Right Triangles Problems

This video tutorial covers special right triangles, focusing on 45-45-90 and 30-60-90 triangles. It explains their properties, such as equal legs and hypotenuse in 45-45-90 triangles, and short and long legs in 30-60-90 triangles. The tutorial also demonstrates how to solve problems using these properties, including calculating hypotenuse and leg lengths using specific formulas.

What are the two types of special right triangles discussed?

• 45-45-90 and 30-30-120

• 30-30-120 and 60-60-60

• 30-60-90 and 45-45-90

• 45-45-90 and 60-60-60

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

• The legs are different

• The legs are equal

• One leg is half the hypotenuse

• One leg is twice the other

In a 30-60-90 triangle, which side is opposite the 30-degree angle?

• Long leg

• None of the above

• Short leg

• Hypotenuse

If one leg of a 45-45-90 triangle is 5, what is the hypotenuse?

• 10

• 5

• 5√2

• 10√2

In a 30-60-90 triangle, if the short leg is 9, what is the hypotenuse?

• 18

• 18√3

• 9

• 9√3

In a 30-60-90 triangle, if the hypotenuse is 22, what is the short leg?

• 22√3

• 11

• 22

• 11√3

In a 45-45-90 triangle, if the hypotenuse is 16, what is the length of each leg?

• 8

• 8√2

• 16√2

• 16

In a 30-60-90 triangle, if the long leg is 42, what is the short leg?

• 21√3

• 14√3

• 21

• 14

In a 45-45-90 triangle, if the hypotenuse is 19√2, what is the length of each leg?

• 38√2

• 19√2

• 19

• 38