Answer the following
questions dealing with the Pythagorean Theorem.

1. 
Princess Fiona is locked in the tower of Castle Kronen.
You have volunteered to rescue the princess. If the
tower window is 36 feet above the ground and you must place
your ladder 10 feet from the base of the castle
(because of the moat), which choice is the shortest length
ladder you will need to reach the tower window? 
Choose:




2. 

A
baseball diamond is a square with sides of 90 feet. What is the shortest distance,
to the nearest tenth of a foot, between home
plate and second base?

Choose:




3. 

The sides of a triangle
measure 2.4, 3.2, and 4. Is this triangle a right
triangle? 
Choose:




4. 
Daisy Duck has a nest on the edge of the pond.
From her favorite feeding spot, she can either waddle on
land around the pond to the nest (80 meters by 60
meters), or she can swim across the
pond to the nest. Daisy waddles more quickly
than she swims. She waddles at the rate of 30
m/min and she swims at the rate of 20 m/min. Which
route is quicker to travel from the feeding spot to the
nest? Waddling on land or swimming in
the pond?

Choose:





5. 

Using the Pythagorean
Theorem, find the area of an equilateral triangle whose
side measures 5 units. Find the area to the
nearest tenth of a square unit.

Choose:




6. 

An equilateral
triangle is plotted on a coordinate plane. Two of the vertices
are (0,0) and (8,0). Which of the coordinates
shown could be the vertex of the third side?

Choose:



7. 
Joe Bean regularly takes a shortcut
across Mr. Wilson's lawn instead of walking on the
sidewalk on his way home from school. How much
distance is saved by Joe cutting across the lawn?

Choose:




8. 

Find x.

Choose:




9. 

Find the value of x.

Choose:





10. 

A spider has taken up residence in a small cardboard
box which measures 2 inches by 4 inches by 4 inches. What is
the length, in inches, of a straight spider web that will carry the spider from
the lower right front corner of the box to the upper left back corner of the
box?

Choose:





