The Pythagorean Theorem: Quiz #1

10 Questions  I  By Aconey on February 5, 2008
Directions: Use the Pythagorean Theorem to solve the following problems.

  

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1.  The front of a hiking tent is shaped alike a triangle. The slanted sides are both 5 feet long and the bottom of the tent is 6 feet across. What is the height of the tent in feet at the tallest point?
 
2.  Two joggers run 8 miles north and then 15 miles west. What is the shortest distance, they must travel to return to their starting point?
 
3.  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 2nd base?
 
4.  To get from point A to point B Myranda must avoid walking through the pond. She walks 34 meters south and 41 meters east. How many meters is the shortest distance from point A to point B?
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5.  Ms. Coney made the triangle that you see here on the board. She said that they hypotenuse is 13 inches and one of the legs is 5 inches. What is the length of the other leg?
 
6.  A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase?
 
7.  How far up a wall will an ladder reach that measures 11 meters, if the foot of the ladder must be 4 meters from the base of the wall?
 
8.  Breanna has a laptop computer that has a 37 centimeter diagonal screen. The width of the laptop is 12 centimeters. What is the length of the laptop?
 
9.  Shaylee wanted to know if a triangle whose legs are 15 feet and 8 feet and whose hypotenuse is 17 feet is a right triangle. She put into her calculator 17x17 =289. Then she put into her calculator 15x15 =225 and 8x8 =64, and added 225 and 64 together. Is the triangle a right triangle?
A.
B.
C.
D.
10.  Savannah told Paul that she knew which of the three numbers 6, 8, or 10 was the length of the hypotenuse of the right triangle. What is the length of the hypotenuse?
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