Quiz: Special Right Triangles and Geometric Mean

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Tags

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

• 4√2
• 4
• 8
• 4√3

Tags

CCSS.8.G.B.8

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

• 8√2
• 4√2
• 4
• 8

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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

• Divide 8 by √3
• Divide 8 by 2
• Divide 8 by 2, then multiply that answer by √2
• Divide 8 by √3, then multiply that answer by 2

Tags

CCSS.HSG.CO.C.10

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

• x = 6 y = 3√3
• x = 1.5√3 y =1.5
• x = 3√3 y = 6
• x = √3 y = 2√3

Tags

CCSS.HSG.CO.C.10

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

Tags

CCSS.HSG.CO.C.10