Pythagorean Challenges: Calculate Distances & Triples
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ladder is leaning against a wall. The foot of the ladder is 6 feet away from the wall, and the ladder reaches a height of 8 feet. How long is the ladder?
12 feet
14 feet
8 feet
10 feet
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular park has a length of 30 meters and a width of 40 meters. What is the distance from one corner of the park to the opposite corner?
20 meters
60 meters
50 meters
70 meters
Tags
CCSS.8.G.B.8
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one leg measuring 9 cm and the other leg measuring 12 cm. What is the length of the hypotenuse?
15 cm
17 cm
13 cm
10 cm
Tags
CCSS.8.G.B.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two buildings are 50 meters apart. One building is 30 meters tall, and the other is 40 meters tall. What is the distance between the tops of the two buildings?
10√26 meters (approximately 101.0 meters)
60 meters
50 meters
70 meters
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has sides of lengths 5, 12, and 13. Verify if this is a Pythagorean triple and explain why it is or isn't.
It is a Pythagorean triple, but the longest side is not 13.
Yes, but it is not a right triangle due to the side lengths.
Yes, it is a Pythagorean triple.
No, it is not a Pythagorean triple because the sides do not satisfy the equation.
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A baseball diamond is a square with each side measuring 90 feet. What is the distance from home plate to second base?
90 feet
180 feet
90√2 feet
45√2 feet
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 15-foot tall tree casts a shadow that is 9 feet long. How far is the tip of the shadow from the base of the tree?
9 feet
12 feet
8 feet
10 feet
Tags
CCSS.8.G.B.8
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