Special Right Triangle Word Problems

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

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

Tags

CCSS.HSG.CO.C.10

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

Tags

CCSS.HSG.SRT.C.8

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.

• Multiply that leg's length by √2.

• Multiply that leg's length by 2.

• Divide that leg's length by √2.

Tags

CCSS.8.G.B.8

I have been given a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?

• Multiply by √2

• Divide by √2

• It's the same length as the hypotenuse.

• Divide by 2

Tags

CCSS.8.G.B.8

I have been given the short leg in this 30-60-90 triangle. How do I find the long leg (y)?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by 2

Tags

CCSS.HSG.SRT.C.8

Find x - the length of the hypotenuse of the triangle.

• 5

• 5√2

• 10

• 5√3

Tags

CCSS.8.G.B.8

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

• 12 feet

• 13.9 feet

Tags

CCSS.8.G.B.8

Find the value of x.

• 18

• 18√3

• 36√3

• 12

Tags

CCSS.HSG.SRT.C.8

What is the value of x?

• 12√2

• 2√12

• 24

• 12√3

Tags

CCSS.8.G.B.8

Find the value of y.

• 11√2

• 11

• 22

• (11√2)/2

Tags

CCSS.8.G.B.8