Special right triangles

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.8.G.B.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.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

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

Tags

CCSS.HSG.SRT.C.8

Find x.

• 22
• 11√3
• 11√2
• 11

Tags

CCSS.7.EE.B.3

Find a.

• 12
• 24
• 24√3
• 16

Tags

CCSS.HSG.SRT.C.8

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.8.G.B.8

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14
• 10
• 5.3
• 2

Tags

CCSS.8.G.B.8

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3
• 16√3
• 32
• 16√2

Tags

CCSS.8.G.B.8