Special Right Triangles

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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

• 4√2
• 4
• 8
• 4√3

In this isosceles triangle, what is the length of x?

• 8√2

• $\frac{8}{\sqrt{2}}$

• 16

• 8

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Which is the length of v in this 30-60-90 triangle?

• $4\sqrt{3}$

• 4

• 8

• $4\sqrt{2}$

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

What is the length of the short leg of this 30-60-90 triangle?

• 6

• $\frac{6}{\sqrt{3}}$

• 3

• $\frac{6}{\sqrt{2}}$

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

In this 30-60-90 triangle, what is the length of the hypotenuse?

• 4√2

• 4√3

• 4

• 8

In this 30-60-90 triangle, what is the length of the long leg?

• 6√2

• 3√3

• 12

• 6√3

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is x in this 30-60-90 triangle?

• x = 6

• x = 3√2

• x = 3√3

• x = 3√3

What is a in this 30-60-90 triangle?

• a = 7√3

• a = 7√2

• a = 14

• a = 14√3

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find x.

• 10
• 10√3
• 10√2
• 20

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8