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Pythagorean Theorem
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23, A tree broke from a point but did not separate. Its top touched the ground at a distance of 24 m from its base. If the point where it broke is at the height of 7 m from the ground, what is the total height of the tree?
32 m
22. Find the wide of the rectangle whose length is 24 cm and diagonal is 26 cm.
10 cm
21. What is the length of bd?
12 cm
20. Work out the length of the hypotenuse.
550 mm
19. Find a third number so that the three numbers form a right triangle:
84 cm
18. A rectangular swimming pool is 21 m wide and 28 m long. Calculate the length of a diagonal swimming pool in metres.
35 m
17. Find the length of the side.
14 m
16. Pasha displayed a photo on his desk. He used a 5 inch rod to hold the picture up right as shown below. What is the total h, height of the photo in inches?
8 inch
15. The area of square 7 is the sum of the areas of which squares?
1, 2, 3, 4, or 5, 6
14. Mevlud lives 120 yards north of school and Rama lives 350 yards east of school. If Mevlud walks on a straight line to Rama’s house, how many yards would he need to walk?
370 yards
13. Determine if the three given side lengths form a right triangle.
No
12. Work the lengths of the sides marked *
20 m
11. A triangle has sides with lengths 36 centimeters, 48 centimeters, and 60 centimeters. Is it a right triangle?
Yes
10. Could these dimensions represent a right triangle? 3, 2, 1 (Answer yes or no)
No
9. Raito bought an LED television set that is 32 inches long. The diagonal length measures 40 inches. What is the width of the television screen?
24 inch
8. Rafa Athaya walks 16 km north and then 30 km east. How far is Isaac from his starting point?
34 km
7. Find the lengths of the side.
15 mm
6. Mrs. Intan displayed a photo on her desk. She used a 17 inch rod to hold the picture up right as shown below. What is the total h, height of the photo in inches?
20 inch
5. Rheina has a rectangular garden that has a length of 20 meter and a width of 12 meters. Tyger wants to put up a fence from one corner to the other corner diagonally. How many meters of fencing does he need to buy?
24 meter
4. Determine if the three given side lengths form a right triangle.
YES
3. A rectangle is 12 cm long and 5 cm wide. Work out the length of a diagonal of the rectangle.
13 cm
2. Work out the lengths of the sides marked #
12 m
1. Work out the length of the hypotenuse
10
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