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Two sides of a triangle have lengths 4 and 10. If the third
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06 Apr 2020, 05:55
06 Apr 2020, 05:55
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Two sides of a triangle have lengths 4 and 10. If the third side has a length of integer x, how many possible values are there for x ?
A. 4
B. 5
C. 6
D. 7
E. 8
Kudos for the right answer and explanation
A. 4
B. 5
C. 6
D. 7
E. 8
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
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Two sides of a triangle have lengths 4 and 10. If the third
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06 Apr 2020, 06:02
06 Apr 2020, 06:02
1
Carcass wrote:
Two sides of a triangle have lengths 4 and 10. If the third side has a length of integer x, how many possible values are there for x ?
A. 4
B. 5
C. 6
D. 7
E. 8
Kudos for the right answer and explanation
A. 4
B. 5
C. 6
D. 7
E. 8
Kudos for the right answer and explanation
IMPORTANT RULE: If two sides of a triangle have lengths A and B, then |A-B| < third side < A+B
So, for this question, we get: |10 - 4| < third side < 10 + 4
Simplify: 6 < x < 14
Since x is an INTEGER, x can be 7, 8, 9, 10, 11, 12 or 13 (7 possible values)
Answer: D
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Two sides of a triangle have lengths 4 and 10. If the third [#permalink]
06 Apr 2020, 06:02
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