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The sum of the lengths of two sides of isosceles triangle K [#permalink]
14 May 2018, 14:02

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Question Stats:

50% (01:02) correct
49% (00:49) wrong based on 55 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

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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

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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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