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The triangle ABC is the equilateral triangle. Moreover, AB,

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The triangle ABC is the equilateral triangle. Moreover, AB,

by Max@Math Revolution » Mon Nov 11, 2019 11:19 pm
[GMAT math practice question]

Image

The triangle ABC is the equilateral triangle. Moreover, AB, BC, and AC are parallel to n, l, and m, respectively. As the figure shows, DI = 3, EF = 2, FG = 6 and HG = 1. What is x + y?

A. 6
B. 7
C. 8
D. 9
E. 10
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by [email protected] » Tue Nov 12, 2019 9:54 am
help needed to solve this one.
what logic will be applied here?
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by Max@Math Revolution » Thu Nov 14, 2019 12:05 am
=>

Since triangles ADI, BEF and CGH are equilateral triangles, AD = AI = 3, BE = BF = 2 and CG = CH = 1. Then we have 3 + x + 1 = 3 + y + 2 = 2 + 6 + 1, since we have AB = BC = CA, which simplifies to x + 4 = y + 5 = 9.
So we have x = 5, y = 4 and x + y = 9.

Therefore, D is the answer.
Answer: D
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