Pythagorean Theorem: Solve & Interpret Geometry Challenges
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 on the wall. Use the Pythagorean theorem to find the length of the ladder.
8 feet
14 feet
10 feet
12 feet
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length of 10 meters and a width of 6 meters. If you want to plant a diagonal path from one corner to the opposite corner, how long will the path be?
12.00 meters
10.50 meters
9.00 meters
11.66 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 x cm. If the hypotenuse is 15 cm, find the value of x using the Pythagorean theorem.
8 cm
12 cm
10 cm
14 cm
Tags
CCSS.8.G.B.7
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 12-foot tall tree casts a shadow that is 9 feet long. If you were to walk directly from the top of the tree to the end of the shadow, how far would you walk? Use the Pythagorean theorem to find the distance.
9 feet
15 feet
12 feet
18 feet
Tags
CCSS.8.G.B.8
5.
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? Use the Pythagorean theorem to calculate this distance.
180 feet
45√2 feet
90√2 feet
90 feet
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has a hypotenuse of 13 cm and one leg measuring 5 cm. Find the length of the other leg using the Pythagorean theorem.
12 cm
8 cm
9 cm
10 cm
Tags
CCSS.8.G.B.7
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to help wheelchair access to a building. If the ramp rises 4 feet and extends 3 feet horizontally, what is the length of the ramp? Use the Pythagorean theorem to find the answer.
7 feet
4 feet
6 feet
5 feet
Tags
CCSS.8.G.B.8
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