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BTGmoderatorDC
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If BC = BD, what is the length of BC?
(1) x = 30
(2) AD = 1
OA B
Source: Magoosh
If BC = BD, what is the length of BC?
This topic has expert replies
If BC = BD, what is the length of BC?
(1) x = 30
(2) AD = 1
OA B
Source: Magoosh
Source: Beat The GMAT — Data Sufficiency |
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Jay@ManhattanReview
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BTGmoderatorDC wrote: ↑Tue Apr 21, 2020 5:18 pmDS1.png
If BC = BD, what is the length of BC?
(1) x = 30
(2) AD = 1
OA B
Source: Magoosh
Pl. see the attached image.BTGmoderatorDC wrote: ↑Tue Apr 21, 2020 5:18 pmDS1.png
If BC = BD, what is the length of BC?
(1) x = 30
(2) AD = 1
OA B
Source: Magoosh
In ∆BCD, we have BD = BC, thus, /_BCD = /_BDC = xº
=> /_CBD = 180 – xº => /_DBA = /_2xº
Thus, ∆ABD is an isosceles triangle with /_A = /_DBA = 2xº
=> AD = BD
Now let's come to the statements.
Statement 1 alone is insufficient s we do not know the measure of any side.
Statement 2 is sufficient since AD = 1; thus, BD =1. Since we know that BD = BC, we have BC = 1. Sufficient.
The correct answer: B
Hope this helps!
-Jay
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