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 congruent angles and sides in 45-45-90 triangles and the relationship between sides in 30-60-90 triangles. The tutorial includes examples to demonstrate how to solve problems involving these triangles, emphasizing the use of radicals and the importance of not having radicals in the denominator.

What are the two types of special right triangles discussed in this section?

• 30-30-60 and 60-60-60

• 60-60-60 and 45-45-90

• 30-60-90 and 45-45-90

• 30-60-90 and 60-60-60

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

• The legs are unrelated

• One leg is twice the other

• The legs are equal

• One leg is half the other

What is the formula for the hypotenuse in a 45-45-90 triangle if the leg length is 'a'?

• a * √3

• a * √2

• a * 2

• a / √2

If one leg of a 45-45-90 triangle is 6, what is the length of the hypotenuse?

• 6

• 12

• 6√3

• 6√2

In a 45-45-90 triangle, if the hypotenuse is 12, what is the length of each leg?

• 6√2

• 12√2

• 6

• 12

In a 45-45-90 triangle, if the hypotenuse is 18, what is the length of each leg?

• 9√2

• 9

• 18

• 18√2

If the hypotenuse of a 45-45-90 triangle is 20, what is the length of each leg?

• 20

• 10

• 10√2

• 20√2

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 8?

• 16

• 16√2

• 8√2

• 8

In a 45-45-90 triangle, if the hypotenuse is 24, what is the length of each leg?

• 24√2

• 12√2

• 24

• 12

In a 45-45-90 triangle, if one leg is 10, what is the length of the hypotenuse?

• 10√2

• 20

• 10

• 20√2