[Math Models] 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

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

• 8√2
• 4√2
• 4
• 8

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

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

• 6
• m
• n

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

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

Tags

CCSS.HSG.SRT.C.8

I have been given the long leg in this 30-60-90 triangle.  How do I find the hypotenuse?

• Divide 8 by √3
• Divide 8 by 2
• Divide 8 by 2, then multiply that answer by √2
• Divide 8 by √3, then multiply that answer by 2

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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 = 3√3 y = 3√2

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.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