Right Triangles: Ratios & Pythagorean Theorem Challenge
Authored by Anthony Clark
English, Mathematics
7th 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. If the ladder is 10 feet long and reaches a height of 8 feet on the wall, how far is the base of the ladder from the wall? Use the Pythagorean theorem to find the distance.
10 feet
8 feet
4 feet
6 feet
Tags
CCSS.8.G.B.8
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two similar right triangles have side lengths in the ratio of 3:4. If the shorter side of the smaller triangle is 6 cm, what is the length of the shorter side of the larger triangle?
10 cm
6 cm
8 cm
12 cm
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A 5-foot tall person casts a shadow of 3 feet. At the same time, a tree casts a shadow of 12 feet. How tall is the tree? Use the concept of similar triangles to solve.
10 feet
25 feet
15 feet
20 feet
Tags
CCSS.HSG.SRT.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a right triangle, one leg measures 9 cm and the other leg measures 12 cm. What is the length of the hypotenuse? Apply the Pythagorean theorem to find the answer.
10 cm
13 cm
17 cm
15 cm
Tags
CCSS.8.G.B.8
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A model of a building is made using similar triangles. If the height of the model is 2 meters and the actual building is 10 meters tall, what is the ratio of the height of the model to the height of the building?
1/5
2/5
1/3
1/4
Tags
CCSS.7.G.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A right triangle has one angle measuring 30 degrees. If the length of the hypotenuse is 20 cm, what is the length of the side opposite the 30-degree angle? Use the properties of similar triangles to find the answer.
25 cm
5 cm
15 cm
10 cm
Tags
CCSS.HSG.CO.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two similar right triangles have corresponding side lengths of 5 cm and 15 cm. If the longer side of the smaller triangle is 12 cm, what is the length of the longer side of the larger triangle?
30 cm
24 cm
36 cm
18 cm
Tags
CCSS.HSG.SRT.A.2
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