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08 Feb 2007, 13:47
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How would you go about solving this?
OA: A
OA: A
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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08 Feb 2007, 14:16
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Angle(ABD) = 2x - x = x
Thus, Triangle(ABD) is isosceles triangle. AD = BD.
And since, Triangle(BDC) is also isosceles triangle. BD = BC.
We can conclude that AD = BC.
Info(1) given AD = 6. We also know that BC = 6. SUFF
Thus, Triangle(ABD) is isosceles triangle. AD = BD.
And since, Triangle(BDC) is also isosceles triangle. BD = BC.
We can conclude that AD = BC.
Info(1) given AD = 6. We also know that BC = 6. SUFF
08 Feb 2007, 20:06
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joyce
From Condition 1 AD = 6
We know that angle(BDC) = 2x
Hence angle(BDA) = 180-2x
From Triangle property sum of three angle in the triangel is 180
Hence for Triangle BDA x + 180-2x + angle(ABD) = 180
From above x = angle(ABD)
Hence Triangle BDA is isosceles as angle (ABD) = angle (BAD)
and so AD = DB ----1
And we know DB = BC as Triangle BDC is isosceles----2
From 1 and 2 we know AD = BC = 6
Condition 1 is sufficient
Condition 2 is not sufficient as we don't know the value of any side of any triangle.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
