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ABC is an equilateral triangle
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15 Mar 2024, 10:03
15 Mar 2024, 10:03
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Question Stats:
68% (01:33) correct
31% (02:36) wrong based on 19 sessions
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GRE hexagon.jpg [ 22.63 KiB | Viewed 917 times ]
ABC and DEF are equilateral triangles
Quantity A |
Quantity B |
The shaded area is a regular hexagon |
The sum of the unshaded areas |
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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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: ABC is an equilateral triangle
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27 May 2024, 15:54
27 May 2024, 15:54
2
1
Choosing numbers is a good approach here.
Let's suppose that the side of the equilateral triangles are 6, meaning that they could be equally divided into 3 lines of 2 (like in the picture), we know this because it is a regular hexagon.
We have 6 of this equilateral triangles with side 2, we can calculate the area of those using the property (half * half * root 3, which is a pretty cool property)
Hence the are of those 6 triangles is 6*root 3
The area of the regular hexagon can be divided into 6 equilateral triangles with side length 2, using the same property, it gives us 6*root 3, which is the same.
Correct answer is C
Let's suppose that the side of the equilateral triangles are 6, meaning that they could be equally divided into 3 lines of 2 (like in the picture), we know this because it is a regular hexagon.
We have 6 of this equilateral triangles with side 2, we can calculate the area of those using the property (half * half * root 3, which is a pretty cool property)
Hence the are of those 6 triangles is 6*root 3
The area of the regular hexagon can be divided into 6 equilateral triangles with side length 2, using the same property, it gives us 6*root 3, which is the same.
Correct answer is C
gmatclubot
Re: ABC is an equilateral triangle [#permalink]
27 May 2024, 15:54
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