Special Right Triangle

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​Pythagorean Thereom Review

​Use the Pythagorean Theorem to find the missing side in the following triangles:

Multiple Choice

Find x.

• 12
• √2
• √3
• 6

Multiple Choice

What is the measure of side c?

• 7

• $$\frac{7}{\sqrt{2}}$$

• 7√2

• 14

Multiple Choice

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

• 8√2
• 4√2
• 4
• 8

Multiple Choice

Find x.

• 10
• √3
• 5
• 10√3

Multiple Choice

Find x.

• 10
• 20
• 10√3
• √3

Multiple Choice

Find the value of x.

• 9

• 2√3

• 1

• 3

Multiple Choice

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2
• Use the same length for the second leg
• Multiply that leg by √2
• Divide that leg by √2

Multiple Choice

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.
• Multiply that leg's length by √2.
• Multiply that leg's length by 2.
• Divide that leg's length by √2.

Multiple Choice

I have been given a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?

• Multiply by √2
• Divide by √2
• It's the same length as the hypotenuse.
• Divide by 2

Multiple Choice

I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?

• Multiply 4 by 2
• Multiply 4 by √3
• Multiply 4 by √2
• Divide 4 by 2

Multiple Choice

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2
• Multiply 4 by √3
• Multiply 4 by √2
• Divide 4 by √3

Multiple Choice

I have been given the hypotenuse in this 30-60-90 triangle.  How do I find the short leg?

• Multiply 6 by 2
• Multiply 6 by √3
• Divide 6 by 2
• Divide 6 by √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 = 3√3 y = 3√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 is the length of y in this 45-45-90 triangle?

• 8√2
• 4√2
• 4
• 8

Multiple Choice

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

• 4√2
• 4
• 8
• 4√3

Multiple Choice

What are u and v in this 30-60-90 triangle?

• v = 2√3 u = 6
• v = 4 u = 4√3
• v = 4 u = 4√2
• v = 4√3 u = 8√3