# Squares and Square Roots

# Squares and Square Roots: You Might Want to Wear Your Pyth Helmet While Taking This Quiz Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Squares and Square Roots**Q. What is the length of the hypotenuse in the right triangle shown below?

32

130

64

Q. The picture below shows a green square inside a blue square. What is the area of the green square?

This is a trick question; the green shape isn't really a square.

1465

4473

This is a trick question; green isn't really a color.

Q. Which statement does the Pythagorean Theorem make about the triangle shown below?

*a*

^{2}+

*b*

^{2}=

*c*

^{2}

*b*

^{2}+

*c*

^{2}=

*a*

^{2}

*a*

^{2}+

*c*

^{2}=

*b*

^{2}

*c*

^{2}–

*a*

^{2}=

*b*

^{2}

*b*

^{2}+

*a*

^{2}=

*c*

Q. How many real number solutions are there to the radical equation

?

zero

one

two

infinitely many

I don't have time to count them; I've got things to do

Q. Solve:

.

This equation has no real number solutions.

Q. Solve:

.

This equation has no real number solutions.

Q.

*x*^{2}is proportional to the square root of (*x*+ 1), with constant of proportionality . Which equation best describes this relationship?Q. To get to the store, Dyuri drove in a straight line northeast for 20 miles at 40 miles per hour. If instead Dyuri had gone east for 12 miles and then straight north (going 40 miles per hour), how many minutes longer would it have taken him to get to the store?

12

16

24

42

Depends...did he stop for ice cream?

Q. Find the length of the diagonal in the rectangle shown below.

Q. A balloon tied to the roof of a twenty foot building is being blown sideways by the wind and hovering in the air 50 feet above the ground. The sun is directly overhead and the balloon is casting a shadow 10 feet from the edge of the building. How many feet long is the balloon string?

50

40