Geometry Special Triangles

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

• U = 4√3; V = 4

• U = 4; V = 4

• U = 4√3; V = 4√3

• U = 4; V = 2√3

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

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

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

• 4

• u

• v

Find the length of the missing side. 

• 17 cm

• 22 cm

• 15 cm

• 13 cm

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

• 6

• m

• n

Find x.

• 4

• 2

• √3

• 2√2

What is the value of x?

• 2

• 18

• 2√9

• 9√2

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