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Exploring Special Right Triangles: Real-Life Applications

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Used 1+ times

Exploring Special Right Triangles: Real-Life Applications
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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, forming a right triangle with the ground. If the ladder is 10 feet long and the base of the ladder is 6 feet from the wall, how high up the wall does the ladder reach?

5 feet

10 feet

12 feet

8 feet

Tags

CCSS.8.G.B.8

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangular park has one angle measuring 90 degrees, and the two shorter sides are in a ratio of 1:√3. If the shorter side is 4 meters, what is the length of the longest side?

10 meters

12 meters

6 meters

8 meters

Tags

CCSS.HSG.SRT.C.8

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A 45-45-90 triangle is formed by a triangular roof. If each leg of the triangle is 8 feet long, what is the length of the roof's peak to the base?

8 feet

8√2 feet

16 feet

4√2 feet

Tags

CCSS.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle is formed by a ramp leading to a loading dock. If the ramp is 12 feet long and the height of the dock is 9 feet, how far is the base of the ramp from the dock?

10 feet

5√3 feet

4 feet

3√7 feet

Tags

CCSS.8.G.B.7

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A right triangle is formed by a tree and the ground. If the tree is 15 feet tall and casts a shadow of 15 feet, what type of special triangle is formed?

Equilateral triangle

Scalene triangle

Obtuse triangle

Isosceles right triangle

Tags

CCSS.4.G.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A 30-60-90 triangle is used in a construction project. If the shorter leg is 5 meters, what is the length of the longer leg?

8.66 meters

10 meters

6 meters

7.5 meters

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangular garden has a right angle, with one leg measuring 10 feet and the hypotenuse measuring 26 feet. What is the length of the other leg?

22 feet

18 feet

20 feet

24 feet

Tags

CCSS.8.G.B.7

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