The Pythagorean Theorem: Quiz #1

9 Questions  I  By Aconey
Directions: Use the Pythagorean Theorem to solve the following problems.

Changes are done, please start the quiz.

Questions and Answers

 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?

 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. No, because 15+8 does not equal 17.
 B. No, because there is not enough information to solve this problem.
 C. Yes, because the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle.
 D. Yes, because 8x15x17 is equal to 2040.
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