Special Right Triangles

Special Right Triangles

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse

Multiple Choice

What is the rule for a 3-60-90 triangle?

• $x,\ x,\ x\sqrt{2}$

• $x,\ x\sqrt{3},\ 2x$

Multiple Choice

Find x.

• 10

• √3

• 5

• 10√3

Multiple Choice

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

• x = 6 y = 3√3

• x = 3√2 y = 3

• x = 3√3 y = 6

• x = 6 y = 3√2

Multiple Choice

Find x.

• 4

• 2

• √3

• 2√2

Multiple Choice

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral

Multiple Choice

What is the rule for a 45-45-90 triangle?

• $x,\ x,\ x\sqrt{2}$

• $x,\ x\sqrt{3},\ 2x$

Multiple Choice

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

Multiple Choice

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

• 4√2

• 4

• 8

• 4√3

Multiple Choice

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

• 8√2

• 4√2

• 4

• 8

Multiple Choice

Find the value of x.

• 18

• 18√3

• 36√3

• 12

Multiple Choice

Find the value of y.

• 11√2
• 11
• 22
• (11√2)/2

Multiple Choice

Find the value of y.

• 8
• 4
• 2√3
• 8√3

Multiple Choice

Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)

• 4
• u
• v

Multiple Choice

Find a.

• 3

• $3\sqrt{3}$

• 6

• $\sqrt{3}$

Multiple Choice

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

Multiple Choice

Find the missing side lengths.

• a = 4, b = 4

• a = 4, b = 2√2

• a = 2√2, b = 4

• a = 4, b = 4