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Exploring Right Triangles and the Pythagorean Theorem

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Exploring Right Triangles and the Pythagorean Theorem
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10 questions

Show all answers

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 forming a right triangle with the wall and the ground?

Yes, the ladder is forming a right triangle with the wall and the ground.

No, the ladder is leaning too steeply to form a right triangle.

No, the ladder is not forming a triangle at all.

Yes, but the ladder is too short to reach the wall.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A rectangular park has a length of 30 meters and a width of 40 meters. If you want to find the distance from one corner of the park to the opposite corner, which theorem would you use?

Law of cosines

Triangle inequality theorem

Area formula for rectangles

Pythagorean theorem

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?

10 cm

15 cm

17 cm

13 cm

Tags

CCSS.8.G.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A 5-foot tall person is standing 12 feet away from a tree. If the top of the tree is 13 feet high, what is the distance from the person to the top of the tree?

15 feet

approximately 14.42 feet

12 feet

10 feet

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle has a hypotenuse of 15 cm and one leg measuring 9 cm. What is the length of the other leg?

10 cm

12 cm

14 cm

8 cm

Tags

CCSS.8.G.B.7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ramp is built to help wheelchair access. If the ramp is 10 feet long and rises 4 feet high, what is the horizontal distance from the base of the ramp to the wall?

9.17 feet

8.5 feet

7.2 feet

10 feet

Tags

CCSS.8.G.B.8

7.

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

90 feet

180 feet

Tags

CCSS.8.G.B.8

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