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The sides of a triangle are 1, x, and x^2. What are possi
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30 Nov 2018, 17:14
30 Nov 2018, 17:14
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Question Stats:
59% (01:54) correct
40% (01:41) wrong based on 147 sessions
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The sides of a triangle are 1, x, and \(x^2\). Whthe at are possible values of x?
Indicate all possible values.
A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
F. 3
G. 3.5
Indicate all possible values.
A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
F. 3
G. 3.5
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Re: The sides of a triangle are 1, x, and x^2. What are possi
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10 Dec 2018, 10:54
10 Dec 2018, 10:54
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Carcass wrote:
The sides of a triangle are 1, x, and \(x^2\). What are possible values of x? Indicate all possible values.
A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
F. 3
G. 3.5
A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
F. 3
G. 3.5
IMPORTANT RULE: If two sides of a triangle have lengths A and B, then: |A-B| < third side < A+B
Now let's see what measurements we get for each value of x.
A. x = 0.5. So 1, x, and x² become 1, 0.5 and 0.25. Here, it is NOT the case that |0.5 - 0.25| < 1 < 0.5 + 0.25
ELIMINATE A.
B. x = 1. So 1, x, and x² become 1, 1 and 1. Here, it IS the case that |1 - 1| < 1 < 1 + 1
B WORKS
C. x = 1.5. So 1, x, and x² become 1, 1.5 and 2.25. Here, it IS the case that |1.5 - 1| < 2.25 < 1 + 1.5
C WORKS
D. x = 2. So 1, x, and x² become 1, 2 and 4. Here, it is NOT the case that |1 - 2| < 4 < 1 + 2
ELIMINATE D.
E. x = 2.5. So 1, x, and x² become 1, 2.5 and 6.25
Here, it is NOT the case that |1 - 2.5| < 6.25 < 1 + 2.5
ELIMINATE E.
F. x = 3. So 1, x, and x² become 1, 3 and 9. Here, it is NOT the case that |1 - 3| < 9 < 1 + 3
ELIMINATE F.
G. x = 3.5. So 1, x, and x² become 1, 3.5 and 12.25. Here, it is NOT the case that |1 - 3.5| < 12.25 < 1 + 3.5
ELIMINATE G.
Answer: B, C
Cheers,
Brent
General Discussion
The sides of a triangle are 1, x, and x2. What are the possi
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14 Mar 2019, 09:47
14 Mar 2019, 09:47
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Expert Reply
1
Bookmarks
The sides of a triangle are \(1\), \(x\), and \(x^2\). What are the possible values of x?
Indicate all possible values.
A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
F. 3
G. 3.5
Indicate all possible values.
A. 0.5
B. 1
C. 1.5
D. 2
E. 2.5
F. 3
G. 3.5
