AnswersWHS Pre-Algebra - MA3119 B-CRTopic Test

Exploring the Pythagorean Theorem Answers

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1
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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.
2
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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
3

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

A
22
B
29
C
41
D
42
5

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
6

Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.Step 1: Find the greatest common factor of the given lengths: 7Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?

Question illustration
A
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
B
Yes, any set of lengths with a common factor is a Pythagorean triple.
C
No, the lengths of Pythagorean triples cannot have any common factors.
D
No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not.
7

Which is a perfect square?

A
72
B
81
C
90
D
99
8

Anja is creating a triangle using three straws. The two shorter straws have lengths of 20 cm and 21 cm. How long, in centimeters, should the third straw be for Anja to create a right triangle?

Answer:

29

9

Which is a perfect square?

A
20
B
21
C
24
D
25
10

Which numbers are perfect squares? Check all that apply.

A
1
B
2
C
16
D
18
E
32
F
44
G
94
H
100
11

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

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