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The sum of the lengths of two sides of isosceles triangle K [#permalink]
14 May 2018, 14:02
Expert's post
00:00
Question Stats:
50% (00:59) correct
50% (00:49) wrong based on 20 sessions
The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.
Quantity A
Quantity B
The perimeter of K
11
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
15 May 2018, 08:37
1
This post received KUDOS
It could be that the 3 sides are 4,4 and 3 or it could be that the three sides are 4,3,3 In the first case the perimeter would be 11 and in the second case the perimeter would be 10 option D
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Re: The sum of the lengths of two sides of isosceles triangle K [#permalink]
15 May 2018, 08:40
1
This post received KUDOS
Expert's post
Carcass wrote:
The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4.
Quantity A
Quantity B
The perimeter of K
11
A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given.
Given: The sum of the lengths of two sides of isosceles triangle K is 7. K has a side of length 4. Here are 2 possible triangles that meet this condition: Case a: The triangle has lengths 3, 3, and 4 Case b: The triangle has lengths 3.5, 3.5, and 4
Let's examine each case separately.
Case a: The triangle has lengths 3, 3, and 4 Here, the perimeter = 3 + 3 + 4 = 10 So, we get: Quantity A: 10 Quantity B: 11 Quantity B is greater
Case b: The triangle has lengths 3.5, 3.5, and 4 Here, the perimeter = 3.5 + 3.5 + 4 = 11 So, we get: Quantity A: 11 Quantity B: 11 The two quantities are equal
Answer: D
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