Printable Pythagorean Theorem Test

Printable Pythagorean Theorem Test
Be sure to show all your work!

Name:__________________________

1) The first letter to the password is matched with the answer to this problem.
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The GREAT PYRAMID below has a silhouette that is a regular triangle 500 feet on each side. How tall is it to the nearest foot?
hint: the height is NOT 500

2, 4, 7) The fourth, seventh, and second letters to the password are matched with the answers to the problems below:
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Out at a little place known as Crooked Creek, there is a dam that blocks off the flow of the creek and forms a beautiful lake. The lake has a beach and docks for fishing boats. It's a great family recreation park.

Another interesting aspect about the park is that there is a 25 mile horse trail on the North East edge of the lake. The trail is beautiful. It snakes through the woods, over steep hills and across streams. Sue and Marty are friends in serious athletic training. Sue is building upper body strength by kayaking diagonally across the lake every day. She starts at point A (shown below), on the NW shoreline and ends at point B on the SE corner of the dam.

Now Marty is training for balance and leg strength, so she rides her horse, Duke, along the 25 mile trail each day. She has Duke up to an average speed of 7mph.

Fourth letter clue:)
How far does Sue kayak each day to the nearest tenth of a mile

Seventh letter clue:)
If Sue can keep an average speed of 3.3 mph, how long will it take her to kayak from point A to pt B? Round your answer to the nearest tenth of an hour.

Second letter clue:)
If Marty leaves Point A and travels the 25 mile trail to point B at her average speed of 7mph, how long will it take her to the nearest tenth of an hour?

3) The third letter to the password is matched with the answer to this problem:
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Below is an isosceles trapezoid. Find its EXACT height, "h".

HINT: Isosceles trapezoids are symmetrical figures so triangle AFE is the same size and shape as triangle BCD.

trick is to find the distance from point "D" to point "C"

5.) The fifth letter to the password is matched with the answer to this problem.
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Find the perimeter of the trapezoid below to the nearest mile.

6.) The sixth letter to the password is matched with the answer to this problem.
***********

Find the length of the missing side to the nearest tenth of a unit.

8.) The eighth letter to the password is matched with the answer to this problem.
*********

Find the exact length of the diagonal of the rectangle above.

9.) The ninth letter to the password is matched with the answer to this problem.
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Sue uses two different ways to cross her 250' x 175', pasture field from her barn to the house. One way is to cut straight across the field while stepping over manure land mines. The other way is to walk along the fence line.

walk, walk walk, all the live long day

To the nearest tenth of a foot, how much shorter is the diagonal path?

DECODER GRID
(o) 11.0	(e) 30.8	(i) SQRT(65)
(s) 119.8	(o) 433	(b) 33.2
(r) 14.3	(n) 182	(g) SQRT(205)
(n) 3.6	(a) 54.7	(g) 3.3

*Be sure to type the password into the treasure finder withlowercase letters.