If in the figure above, AB is tangent to the circle centered at C, wha

Question

https://gmatclub.com/forum/download/file.php?id=60641 If in the figure above, AB is tangent to the circle centered at C, what is the area of triangle ABC? (1) AB=10 (2) The circumference of the circle is 15. Project DS Butler Data Sufficiency (DS3) For DS butler Questions Click Here 1.png

TarunKumar1234 · Answer

If in the figure above, AB is tangent to the circle centered at C, what is the area of triangle ABC?

(1) AB=10
Since the radius of the circle i.e. height of the triangle is not fixed, the area is not fixed.
Not sufficient

(2) The circumference of the circle is 15.
Now, the height of the triangle is fixed, but not its base.
Not sufficient

(1) + (2)
Height and base of the triangle are known. We, have a unique triangle.
Sufficient

Option C

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sumitkrocks · Answer

Statement :1 AB=10
Base is known, but height is not known 
Not sufficient

Statement : 2 The circumference of the circle is 15.
Radius can be calculated i.e height of the triangle is known as Radius wil be perpendicular to the tangent and will be equal to height of the triangle but base is not known 
Not sufficient

Combined 
Height and base of the triangle are known hence, sufficient 
C is the answer

GCMEMBER · Answer

If in the figure above, AB is tangent to the circle centered at C, what is the area of triangle ABC?

(1) AB=10
Since the radius of the circle i.e. height of the triangle is not fixed, the area is not fixed.
Not sufficient

(2) The circumference of the circle is 15.
Now, the height of the triangle is fixed, but not its base.
Not sufficient

(1) + (2)
Height and base of the triangle are known. We, have a unique triangle. 
Sufficient

Option C

Posted from my mobile device

Bunuel · Answer

Since AB is tangent to the circle, then radius from C to the tangent point is perpendicular to AB, therefore the area is 1/2*height*AB = 1/2*radius*AB.

First statement gives AB and second statement gives the radius, so together the statements are sufficient to get the area.

Answer: C.

Hope it helps.

If in the figure above, AB is tangent to the circle centered at C, wha

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