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If the lengths of two sides of a triangle are 3 and 7, which of the fo
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20 Jan 2022, 01:19
20 Jan 2022, 01:19
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If the lengths of two sides of a triangle are 3 and 7, which of the following could NOT be the length of the third side?
I. 3
II. 7
III. 10
A. I only
B. II only
C. I and II only
D. I and III only
E. II and III only
I. 3
II. 7
III. 10
A. I only
B. II only
C. I and II only
D. I and III only
E. II and III only
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Re: If the lengths of two sides of a triangle are 3 and 7, which of the fo
[#permalink]
20 Jan 2022, 06:48
20 Jan 2022, 06:48
Carcass wrote:
If the lengths of two sides of a triangle are 3 and 7, which of the following could NOT be the length of the third side?
I. 3
II. 7
III. 10
A. I only
B. II only
C. I and II only
D. I and III only
E. II and III only
I. 3
II. 7
III. 10
A. I only
B. II only
C. I and II only
D. I and III only
E. II and III only
IMPORTANT PROPERTY: If two sides of a triangle have lengths A and B, then . . .
|A - B| < length of third side < A + B
Given: The lengths of two sides of a triangle are 3 and 7
When we apply the above property we get: |3 - 7| < length of third side < 3 + 7
Simplify to get: 4 < length of third side < 10
So, the length of the third side could be 7 (but not 3 or 10)
Answer: B
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gmatclubot
Re: If the lengths of two sides of a triangle are 3 and 7, which of the fo [#permalink]
20 Jan 2022, 06:48
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