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If area of triangle ABC = 24

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If area of triangle ABC = 24

by vinni.k » Tue Apr 16, 2013 4:40 am
If area of triangle ABC = 24 and a > 1, What is the value of b ?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9

Answer is E

Thanks & Regards
Vinni
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by Anju@Gurome » Tue Apr 16, 2013 4:46 am
vinni.k wrote:If area of triangle ABC = 24 and a > 1, What is the value of b ?
Area of the triangle = (base*height)/2
Now, base = length of AC = difference of x-coordinates of A and C = (4 - (-2)) = 6
And, height = distance of B from AC = difference of y-coordinates of B and A = (b - 1)

So, 6(b - 1)/2 = 24
--> (b - 1) = 2*24/6 = 8
--> b = 8 + 1 = 9

The correct answer is E.
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by vinni.k » Tue Apr 16, 2013 9:03 am
Anju@Gurome wrote:
Area of the triangle = (base*height)/2
Now, base = length of AC = difference of x-coordinates of A and C = (4 - (-2)) = 6
And, height = distance of B from AC = difference of y-coordinates of B and A = (b - 1)

So, 6(b - 1)/2 = 24
--> (b - 1) = 2*24/6 = 8
--> b = 8 + 1 = 9

The correct answer is E.
Thank you

Regards
Vinni
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