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Pythagorean Theorem
Test Description: Find the missing side length of a right triangle. Tell if side lengths form a right triangle.
Instructions: Answer all questions to get your test result.
1) A triangle has a leg that is 5 units long and another leg that is 9 units long. How long is the hypotenuse?
A
106
B
10.3
C
45
D
5.3
2) What is the longest side of a right triangle called?
A
hippopotamus
B
hypotenuse
C
leg
D
longest side
3) What type of triangle does the pythagorean theorem work on?
A
obtuse triangle
B
right triangle
C
any traingle
D
acute triangle
4) A right triangle has a hypotenuse of 25 and a leg that is 20 units long. How long is the other leg?
A
250
B
5
C
15
D
30.02
5) A door is 4 m tall and 2 m wide. Susie is trying to fit a new table through the doorway. What is the longest the table could be to fit through the door? *Hint the longest distance is the diagonal of the door.
A
4 m
B
4.47 m
C
3.5 m
D
5 m
6) A 12 foot ladder is leaning against a house. The bottom of the ladder is 4 ft from the house. How far up the house will he ladder touch?
A
10.2 ft
B
11.3 ft
C
12 ft
D
8.5 ft
7) Given the lengths of a triangle are 6, 8 and 10, do they form a right triangle?
A
yes
B
no
8) Monica walks 4 miles east of her home and then 5 miles north. What is her shortest distance from her house?
A
7.2 miles
B
6.4 miles
C
5.5 miles
D
9 miles
9) The hypotenuse of a triangle is 16 in and a leg is 12 in. What is the length of the missing side?
A
10.6 in
B
20 in
C
9.3 in
D
8 in
10) A triangle has leg lengths of 3 and 4. What is the perimeter of the triangle?
A
5
B
7
C
12
D
6
*select an answer for all questions
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