AnswersPre-Algebra BUnit Test

Exploring the Pythagorean Theorem Answers

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1
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Which real-world scenario involves a right triangle?

A
a triangular bathroom tile with side lengths of 6 inches, 8 inches, and 12 inches
B
a triangular bike path with lengths of 5 miles, 12 miles, and 13 miles
C
a triangular plot of land with side lengths of 10 yards, 10 yards, and 15 yards
D
a triangular street sign with side lengths of 3 feet, 3 feet, and 3 feet
2
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What is the length of the hypotenuse, x, if (12, 35, x) is a Pythagorean triple?

A
33
B
37
C
47
D
58
3

Which equation can be used to find x, the length of the hypotenuse of the right triangle?

Question illustration
A
16 + 63 = x
Option A
B
16 squared + 63 = x
Option B
C
(16 + 63) squared = x squared
Option C
D
16 squared + 63 squared = x squared
Option D
4

Which equation can be used to find x, the length of the hypotenuse of the right triangle?

Question illustration
A
18 + 24 = x
Option A
B
18 squared + 24 = x
Option B
C
(18 + 24) squared = x squared
Option C
D
18 squared + 24 squared = x squared
Option D
5

Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that .Which best describes Nadia’s solution?

Question illustration
A
She is correct because she applied the Pythagorean theorem properly and her arithmetic is accurate.
B
She is incorrect because she should have used 45 as the length of the hypotenuse.
C
She is incorrect because she should have squared each leg length and then found the sum.
D
She is correct because the hypotenuse is the longest side of the triangle.
6

Which expression is equivalent to the area of square A, in square inches?

Question illustration
A
One-half (10) (24)
Option A
B
10 (24)
Option B
C
(10 + 24) squared
Option C
D
10 squared + 24 squared
Option D
7

Which is a perfect square?

A
5
B
8
C
36
D
44
8

What is the length of the hypotenuse, x, if (20, 21, x) is a Pythagorean triple?

A
22
B
29
C
41
D
42
9

Which set of side lengths forms a right triangle?

A
2, 3, 13
B
4, 6, 10
C
9, 12, 18
D
15, 36, 39
10

Which statement explains why 49 is a perfect square?

A
49 can be multiplied by 49.
B
49 is equal to 7 plus 7.
C
49 is between 36 and 64.
D
49 is equal to 7 times 7.

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