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08 Nov 2018, 09:45
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
77% (00:40) correct
23%
(00:47)
wrong
based on 523
sessions
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Time
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What is the area of the triangle above?
(1) \(a^2\)+ 9 = 25
(2) x = 90 degrees
Attachment:
DS1.jpg [ 3.62 KiB | Viewed 6029 times ]
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08 Nov 2018, 10:09
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gmatbusters
(1) \(a^2\)+ 9 = 25 ==> a=4 ==> Now the three sides are 3,4,5 - a pythagorian triplet. Hence X=90 deg. Thus area = \(\frac{1}{2} * 3 *4\) - Sufficient
(2) x = 90 deg ==> area = \(\frac{1}{2} * 3 *a\) ........and \(a^2\) = 5^2 -3^2 ==> a=4 ==>Hence, area =\(\frac{1}{2} * 3 *4\) - Sufficient
Ans D.
08 Nov 2018, 10:37
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From statement 1 we can solve for a to get value as 4
As a^2=25-9=16
Area of triangle =0.5*b*h
=0.5*4*3=6
Sufficient
From statement 2 using pythagorean triplet we can get a=4 and get the area of triangle as in statement 1 above. sufficient
D should be the correct choice.
Sent from my Redmi Note 3 using GMAT Club Forum mobile app
As a^2=25-9=16
Area of triangle =0.5*b*h
=0.5*4*3=6
Sufficient
From statement 2 using pythagorean triplet we can get a=4 and get the area of triangle as in statement 1 above. sufficient
D should be the correct choice.
Sent from my Redmi Note 3 using GMAT Club Forum mobile app
08 Nov 2018, 11:12
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gmatbusters
Question stem: Ares of the above triangle?
From statement 1:
\(a^2 = 16\)
a = +4 or -4.
Since the side of a triangle can NEVER be negative. a = 4.
Now, by looking at the triangle, we can see that it's a right angled triangle. Hence area can be found using the formula 1/2*b*h = 1/2*4*3 = 6.
Sufficient.
From statement 2:
Angle x = 90.
Then the triangle becomes a right-angled triangle.
By Pythagorean theorem, we get a as 4. and area = 1/2*b*h = 1/2*4*3 = 6.
Sufficient.
D is the answer.
