special Right Triangles

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.8.G.B.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

Which side is the long leg in this 30-60-90 triangle?

• 4
• u
• v

Tags

CCSS.HSG.CO.C.10

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

• 6
• m
• n

Tags

CCSS.HSG.CO.C.10

In this 45-45-90 triangle, I have been given a leg, so to find the other leg, what would I have to do?

• 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.8.G.B.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.

In this 45-45-90 triangle, I have been given the length of the hypotenuse.  How would I find the length of the legs?

• multiply the hypotenuse by √2
• divide the hypotenuse by √2
• Divide the hypotenuse by 2
• divide the hypotenuse by √3

Tags

CCSS.8.G.B.8

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

• Divide 10 by √3, then multiply that # by 2
• Divide 10 by 2, then multiply that # by √3
• Divide 10 by 2
• Divide 10 by √3

What is the length of the long leg?

• 5
• 20
• (10√3)/3
• 5√3