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Mastering Special Right Triangles: Side Length Challenges

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Mastering Special Right Triangles: Side Length Challenges
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ladder leans against a wall, forming a right triangle with the ground. If the ladder is 10 feet long and the base is 6 feet from the wall, how high up the wall does the ladder reach?

5 feet

10 feet

8 feet

12 feet

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A 45-45-90 triangle has legs of equal length. If one leg measures 8 inches, what is the length of the hypotenuse?

8√2 inches

16 inches

8 inches

4√2 inches

Tags

CCSS.8.G.B.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangular park has a right angle at one corner. If one leg measures 12 meters and the other leg measures 16 meters, what is the length of the hypotenuse?

18 meters

22 meters

24 meters

20 meters

Tags

CCSS.8.G.B.7

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A 30-60-90 triangle has a short leg measuring 5 cm. What is the length of the long leg and the hypotenuse?

Long leg: 10√3 cm, Hypotenuse: 5√2 cm

Long leg: 10 cm, Hypotenuse: 5 cm

Long leg: 5 cm, Hypotenuse: 5√2 cm

Long leg: 5√3 cm, Hypotenuse: 10 cm

Tags

CCSS.8.G.B.8

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle has one angle measuring 30 degrees. If the hypotenuse is 14 meters, what is the length of the side opposite the 30-degree angle?

5 meters

7 meters

10 meters

12 meters

Tags

CCSS.HSG.SRT.C.8

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A roof is designed in the shape of a right triangle. If the height of the roof is 9 feet and the base is 12 feet, what is the length of the roof's slope?

12 feet

18 feet

15 feet

10 feet

Tags

CCSS.8.G.B.7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a right triangle, one leg measures 7 cm and the hypotenuse measures 25 cm. What is the length of the other leg?

20 cm

24 cm

10 cm

15 cm

Tags

CCSS.8.G.B.7

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