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22 Sep 2017, 21:31
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What is the area of the triangle ?
1) Two sides are 41cm each
2) The altitude to the third side of the triangle is 9 cm
Need a detailed solution plz
Sent from my HTC Desire 816G dual sim using GMAT Club Forum mobile app
1) Two sides are 41cm each
2) The altitude to the third side of the triangle is 9 cm
Need a detailed solution plz
Sent from my HTC Desire 816G dual sim using GMAT Club Forum mobile app
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 Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
23 Sep 2017, 01:26
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What is the area of the triangle ?
Find attached figure for reference.
Let triangle be ABC.
1) Two sides are 41cm each
AB =AC=41
As we dont know about third side
Insufficient.
2) The altitude to the third side of the triangle is 9 cm
So if we draw perpendicular from vertex to base = altitude = 9
Only altitude give.
Insufficient
(1)+(2)
As AB=AC=41
As given altitude to "third" side =9. We can assume AD perpendicular to BC =9
[Here if statement said : The altitude to one side of the triangle is 9 cm, we will not be able to calculate area as we dont knw on which side perpendicular is drawn)
So by Pythagorean theorem in triangle ABD, we found BD =40.
So BC = BD*2 = 40
Area = 1/2*80*9 = 360
Sufficient
Answer: C
Find attached figure for reference.
Let triangle be ABC.
1) Two sides are 41cm each
AB =AC=41
As we dont know about third side
Insufficient.
2) The altitude to the third side of the triangle is 9 cm
So if we draw perpendicular from vertex to base = altitude = 9
Only altitude give.
Insufficient
(1)+(2)
As AB=AC=41
As given altitude to "third" side =9. We can assume AD perpendicular to BC =9
[Here if statement said : The altitude to one side of the triangle is 9 cm, we will not be able to calculate area as we dont knw on which side perpendicular is drawn)
So by Pythagorean theorem in triangle ABD, we found BD =40.
So BC = BD*2 = 40
Area = 1/2*80*9 = 360
Sufficient
Answer: C
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 Data Sufficiency (DS) 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!
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