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Two sides of a triangle have lengths 7 and 4
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19 Sep 2022, 06:50
19 Sep 2022, 06:50
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Expert Reply
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Question Stats:
87% (00:24) correct
12% (00:11) wrong based on 16 sessions
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Two sides of a triangle have lengths 7 and 4.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Length of the third side of triangle |
3 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Re: Two sides of a triangle have lengths 7 and 4
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22 Sep 2022, 11:01
22 Sep 2022, 11:01
2
Answer: A
following the property, sum of two sides is always greater than the third side
so the range of values that could be possible for third side = (7-4, 7+4) = (3,11)
hence, the third side would be greater than 3 for all cases
following the property, sum of two sides is always greater than the third side
so the range of values that could be possible for third side = (7-4, 7+4) = (3,11)
hence, the third side would be greater than 3 for all cases
Re: Two sides of a triangle have lengths 7 and 4
[#permalink]
23 Sep 2022, 13:48
23 Sep 2022, 13:48
Using the Triangle Inequality Theorem we can write
7+4 <Third Side<7-4 or 11<Third Side<3
Answer: A
7+4 <Third Side<7-4 or 11<Third Side<3
Answer: A
