Real-World Pythagorean Challenges for Right Triangles
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. Is the ladder the correct length according to the Pythagorean theorem?
The ladder is 8 feet long according to the Pythagorean theorem.
The ladder is 12 feet long according to the Pythagorean theorem.
Yes, the ladder is 10 feet long according to the Pythagorean theorem.
The ladder is 14 feet long according to the Pythagorean theorem.
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 24 meters. What is the length of the diagonal that divides the garden into two right triangles?
20 meters
30 meters
22 meters
26 meters
Tags
CCSS.8.G.B.7
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?
17 cm
13 cm
15 cm
10 cm
Tags
CCSS.8.G.B.7
4.
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?
45√2 feet
90√2 feet
180 feet
90 feet
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 15-foot tall tree casts a shadow that is 9 feet long. If you were to draw a right triangle using the height of the tree and the length of the shadow, what is the distance from the top of the tree to the end of the shadow?
9 feet
20 feet
17.44 feet
15 feet
Tags
CCSS.8.G.B.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to help wheelchair access. If the ramp rises 4 feet over a horizontal distance of 3 feet, what is the length of the ramp?
5 feet
6 feet
3 feet
4 feet
Tags
CCSS.8.G.B.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has a hypotenuse of 13 cm and one leg measuring 5 cm. What is the length of the other leg?
10 cm
12 cm
15 cm
8 cm
Tags
CCSS.8.G.B.7
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