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WorksheetsDistance and Right Triangles Quiz
Total questions: 25
Worksheet time: 25mins
Use the coordinate grid plane to find the distance between the points (-5, 6) and (3, 2). Round to the nearest hundredth.
3.2
8.94
-5.6
3.6
Based on the converse of the Pythagorean Theorem, which of the following sets of side lengths is not a right triangle?
6^2 + 8^2 = 10^2
10^2 + 24^2 = 26^2
2^2 + 3^2 = 4^2
3^2 + 4^2 = 5^2
Which of the following correctly uses the Pythagorean Theorem to find the missing side x?
x^2 + 6^2 = 10^2
x + 6 = 10
6^2 + 10^2 = x^2
x^2 + 10^2 = 6^2
The Pythagorean Theorem can only be used on which type of triangles?
scalene
isosceles
right
obtuse
A triangle has sides with lengths of 15 m, 20 m, and 25 m. Is it a right triangle?
Yes
No
The length of one side of a right triangle is shown in this diagram as 6 inches. What could be the lengths of the two remaining sides of the triangle?
2 inches and 8 inches
8 inches and 10 inches
8 inches and 14 inches
10 inches and 14 inches
What is the volume of this cylinder? Use π=3.14 and round your answer to the nearest whole number.
791 m^3
198 m^2
198 m^3
462 m^3
What is the volume of the sphere shown below? Use π=3.14.
109,874.88 cubic centimeters
195,333.12 cubic centimeters
195,510.86 cubic centimeters
1,562,664.96 cubic centimeters
Find the volume of a sphere of radius 6 m.
905 m^3
942 m^3
760 m^3
785 m^3
What is the approximate volume of the cone shown in the diagram?
70 cm³
183 cm³
549 cm³
733 cm³
What is the volume of this cone? Use π=3.14 and round your answer to the nearest hundredth.
3.14
6
25.12
2
A cylinder is 20 inches long and has a diameter of 10 inches. What is the approximate volume of the cylinder?
200 cubic inches
630 cubic inches
1,570 cubic inches
6,280 cubic inches
Find the volume of the below given cone. Use π=3.14 and round your answer to the nearest hundredth.
12.81 in³
38.47 in³
51.29 in³
25.73 in3
Calculate the volume of the cylinder. Note: Figure not drawn to scale.
1608 cm³
500 cm³
502.4 cm³
450.4 cm³
Stacy hits the jackpot one day at the gumball machine. She puts in a quarter and gets 4 gumballs rather than 1. The radius of each gumball is 6 mm. What is the total volume of all gumballs? Either enter an exact answer in terms of π or use 3.14 for π.
3619.11 mm³
3.14 mm³
1152 mm³
6 mm³
A zip line starts on a platform that is meters above the ground. The anchor for the zip line is horizontal meters from the base of the platform. How long is the zip line?
101 m
202 m
40 m
198 m
Kali has a 6 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 2 meters away from the base of the tree. How high into the tree will the ladder reach? Round your answer to the nearest tenth of a meter.
2 m
5.7 m
6 m
8 m
Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters. What is the diagonal distance across the plaza? Round your answer to the nearest tenth of a meter.
50 m
70.7 m
100 m
5000 m
A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run? Round your answer to the nearest meter.
64 m
100 m
119 m
164 m
What is the length of the hypotenuse in the triangle shown?
3
4
5
8
c2 = a2 - b2
Level 1
If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?
6
6.7
3
15.7
None of them
4, 5, 6
Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?
44.1 km
59 km
47.8 km
33 km
