
Right Triangle Challenges: Pythagorean & Side Identification
Authored by Anthony Clark
English, Mathematics
10th 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 base of the ladder is 4 feet from the wall and the ladder is 10 feet long, how high up the wall does the ladder reach?
10 feet
9.17 feet
7.5 feet
8 feet
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one leg measuring 6 cm and a hypotenuse measuring 10 cm. What is the length of the other leg?
9 cm
8 cm
7 cm
5 cm
Tags
CCSS.8.G.B.7
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ramp is built to allow wheelchair access. If the ramp is 12 feet long and rises to a height of 5 feet, how far is the base of the ramp from the wall it is leaning against?
12 feet
6.5 feet
10.91 feet
8.5 feet
Tags
CCSS.8.G.B.8
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A triangular park has one side measuring 8 meters and a hypotenuse measuring 10 meters. Calculate the length of the other side of the triangle.
4 meters
5 meters
7 meters
6 meters
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has an angle of 30 degrees and the side opposite this angle measures 5 meters. What is the length of the hypotenuse?
6 meters
12 meters
8 meters
10 meters
Tags
CCSS.HSG.SRT.C.8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree casts a shadow that is 15 feet long. If the angle of elevation from the tip of the shadow to the top of the tree is 45 degrees, how tall is the tree?
25 feet
10 feet
20 feet
15 feet
Tags
CCSS.HSG.SRT.C.8
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has legs measuring 9 inches and 12 inches. What is the length of the hypotenuse?
15 inches
14 inches
10 inches
18 inches
Tags
CCSS.8.G.B.7
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