
Mastering Special Right Triangles: Side Length Challenges
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 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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