AnswersQ5 Geometry New 2022Interactive: Proving Congruency Using CPCTC

Pythagorean Inequalities Answers

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1
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Determine if 7, 8, and 13 can be the lengths of the sides of a triangle. If yes, classify the triangle.

A
Yes, it is an acute triangle.
B
Yes, it is an obtuse triangle.
C
Yes, it is a right triangle.
D
No, it cannot be a triangle.
2
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Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an obtuse triangle.

A
4
B
5
C
6
D
11
3

Analyze the diagram below and answer the question that follows.Is a right triangle? Why or why not?

Question illustration
A
No, is not a right triangle, because AC would have to be .
B
No, is not a right triangle, because AC would have to be .
C
No, is not a right triangle, because AC would have to be 40.
D
Yes, is a right triangle by the Pythagorean theorem.
4

Analyze the diagram below and answer the question that follows.Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle? A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
5

The sides of a triangle have lengths of x, x + 4, and 20. If the longest side is 20, which of the following values of x would make the triangle acute?

A
8
B
10
C
12
D
14
6

The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would make the triangle right?

A
10
B
12
C
15
D
17
7

Analyze the diagram below and answer the question that follows. What is the largest integer value of MO for which parallelogram MNOP will have an acute angle at P?

Question illustration
A
11
B
12
C
13
D
14
8

Find an integer, x, such that 2, 4, and x represent the lengths of the sides of an acute triangle.

A
2
B
3
C
4
D
6
9

Analyze the diagram below and complete the statement that follows. A. C. = D. cannot be determined Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
10

You walk east 749 feet to get from your house to class. After class, you walk southwest 800 feet to meet your friends for lunch. When walking the 305 feet back home from lunch, what direction are you traveling?

A
N
B
NE
C
NW
D
W

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