Working with
 Pythagorean Theorem

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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:

34 feet
35 feet
37 feet
38 feet

 

 

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:

90.0
127.3
180.0
180.7

 

 

3.

 

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

Choose:

YES
NO

 

 

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:

waddle
swim

 

 

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:

4.3
6.5
10.8
12.5

 

 

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 short-cut 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:

5 ft
10 ft
25 ft
35 ft

 

 

8.

Find x.

Choose:




 

 

9.

Find the value of x.

Choose:

3
4
5
6

 

 

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: