Special Triangle 30-60-90

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

• 6

• m

• n

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

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

• x=10√3   y=30
• x=30√3   y=10
• x=10,   y=30√3
• x=30   y=10√3

• x=5√3  y=5
• x=5   y=5√3
• x=5   y=10√3
• x=5√3  y=10√3

• x=8   y=4
• x=4   y=8
• x=4√3  y=2√3
• x=8   y=2√3

Solve for u and v in the special right triangle.

• v = 9√3, u = 6√3

• v = 6√3 u = 9√3

• v = 9, u = 6√3

• v = 3√6, u = 6√3

Match the following: Given the special 30-60-90 right triangle, match the lengths.

• Across from 90 degree angle

• Across from 60 degree angle

• Across from 30 degree angle

Match the following info about the special right triangle 30^o-60^o-90^o. ( use the info in the picture.)

• across 90^o

• Hypotenuse

• 2.(short leg)

• Long Leg

• across 30^o

• Measure of Hypotenuse

• Short leg

• across 60⁰

• Measure of Long Leg

Find the missing side lengths. Leave your answers as radicals in simplest form.

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