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Applying The Pythagorean Theorem
Test Description: Use the Pythagorean Theorem in word problems and solve by drawing triangles and using the formula.
Instructions: Answer all questions to get your test result.
1) Elsa is flying a kite, she let out 25 m of string. The kite is above a spot that is 7 meters away. How high above the ground is the kite?
A
5 m
B
144 m
C
24 m
D
12 m
2) The dimensions of a rectangular prism are 6in, 3in, and 4in. What is the length of the diagonal of the base?
A
2.9
B
4.6
C
7.8
D
3.6
3) The lengths of a triangle are 9 and 12. What is the diagonal?
A
8
B
10
C
12
D
15
4) The square of b is always equal to the square of c minus the square of a.
A
True
B
False
5) The value of c is equal to the sum of b and c.
A
False
B
True
6) If the hypotenuse is 6 ft and the width is 2 ft what is the height?
A
12
B
4.8
C
8
D
40
7) You have a balloon that flies away :( It floats 8 ft across the ground but is 17 ft away from where you are standing. How far above the ground is the balloon?
A
8 ft
B
10 ft
C
15 ft
D
17 ft
8) A triangles legs are each 6 feet long. How long is the hypotenuse?
A
8 ft
B
12 ft
C
8.5 ft
D
10 ft
9) The legs of a triangle are 8 and 6 feet. What is the hypotenuse?
A
6 ft
B
7 ft
C
9 ft
D
10 ft
10) The length of a hypotenuse is 10 in, and the length of a leg is 6in. What is the length of the other leg?
A
7 in
B
8 in
C
9 in
D
11 in
*select an answer for all questions
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