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Pythagorean Theorem: Algebra and Geometry in Action

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Used 1+ times

Pythagorean Theorem: Algebra and Geometry in Action
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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.

10 feet

14 feet

12 feet

8 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?

10.50 meters

9.00 meters

12.00 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.

16 cm

10 cm

14 cm

12 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.

18 feet

9 feet

12 feet

15 feet

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangular park has one side measuring 5 meters and another side measuring 12 meters. If the park is a right triangle, what is the length of the third side?

7 meters

9 meters

15 meters

10.91 meters

Tags

CCSS.8.G.B.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle has legs of lengths 7 cm and x cm. If the hypotenuse is 10 cm, find the value of x using the Pythagorean theorem.

5 cm

8 cm

12 cm

√51 or approximately 7.14 cm

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A kite is flying at a height of 30 meters. If the string of the kite is 50 meters long, how far is the kite from the point on the ground directly below it?

20 meters

60 meters

30 meters

40 meters

Tags

CCSS.8.G.B.8

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