Pythagorean Theorem and Special Right Triangles

Special right Triangles

30-60-90 triangles

https://www.youtube.com/watch?v=8N9U8ELNILE

45-45-90 triangles

https://www.youtube.com/watch?v=nQEqpVK7ZPA

Multiple Choice

Find x.

• 9

• 3√3

• 6

• 6√3

Multiple Choice

Find a.

• 2√3
• 2
• 12
• 6

Multiple Choice

Which side is the short leg of this 30-60-90 triangle?

• 6

• m

• n

Multiple Choice

How long is e?

• 3

• 6

• 6√3

• 6√2

Multiple Choice

What are a and b in this 30-60-90 triangle?

• b=3.5√3 a = 7√3

• b = 7 a = 7√2

• b = 7 a = 14

• b = 7√3 a = 14√3

Multiple Choice

What are x and y in this 30-60-90 triangle?

• x = 6 y = 3√3
• x = 3√2 y = 3
• x = 3√3 y = 6
• x = 6 y = 3√2

Multiple Choice

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

Multiple Choice

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

Multiple Choice

What is the length of y in this 45-45-90 triangle?

• 8√2
• 4√2
• 4
• 8

Multiple Choice

Find x - the length of the hypotenuse of the triangle.

• 5

• 5√2

• 10

• 5√3

Multiple Choice

Determine the value of c.

• c = 6√3

• c = 12√3

• c = 18

• c = 18√2

Multiple Choice

Determine the value of x.

• x = 10√2

• x = 10

• x = 5√3

• x = 5√6

Multiple Choice

Determine the value of x.

• x = 10√2

• x = 10

• x = 5√3

• x = 5√6