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605-655 (Medium)|   Geometry|      
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Bunuel
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In the figure above, a circle is inscribed in square ABCD. What is the 13 Dec 2015, 05:48
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63% (01:23) correct 37% (01:32) wrong based on 332 sessions

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In the figure above, a circle is inscribed in square ABCD. What is the area of ∆ CDE?

(1) The circle has a radius of length 3.
(2) CDE is isosceles.

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2015-12-13_1646.png
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A
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In the figure above, a circle is inscribed in square ABCD. What is the 13 Dec 2015, 19:47
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I think the answer is A.

Its a Square and the radius is given - we can get Base and height. Thus area of triangle!
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In the figure above, a circle is inscribed in square ABCD. What is the 31 Jul 2016, 04:21
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Bunuel

In the figure above, a circle is inscribed in square ABCD. What is the area of ∆ CDE?

(1) The circle has a radius of length 3.
(2) CDE is isosceles.

Show Spoiler
Attachment:
2015-12-13_1646.png
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although i get ans A
i have some doubts regarding option B
(2) CDE is isosceles.
can we say then ED=EC
and in that case both EC and ED will meet at point E which is mid of AB?

Experts plz reply...

regards
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In the figure above, a circle is inscribed in square ABCD. What is the 31 Jul 2016, 04:58
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rohit8865
Bunuel

In the figure above, a circle is inscribed in square ABCD. What is the area of ∆ CDE?

(1) The circle has a radius of length 3.
(2) CDE is isosceles.

Show Spoiler
Attachment:
2015-12-13_1646.png
although i get ans A
i have some doubts regarding option B
(2) CDE is isosceles.
can we say then ED=EC
and in that case both EC and ED will meet at point E which is mid of AB?

Experts plz reply...

regards
Show more

for statemtn 2 u r right..but u didn't look at more possibilities

its GIVEN CDE is isosceles , BUT the sides which are equal its not given(that u assumed ED=EC)
any 2 sides can be equal. thats y its insufficient

hope it helps
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In the figure above, a circle is inscribed in square ABCD. What is the 31 Jul 2016, 05:18
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hsbinfy
rohit8865
Bunuel

In the figure above, a circle is inscribed in square ABCD. What is the area of ∆ CDE?

(1) The circle has a radius of length 3.
(2) CDE is isosceles.

Show Spoiler
Attachment:
2015-12-13_1646.png
although i get ans A
i have some doubts regarding option B
(2) CDE is isosceles.
can we say then ED=EC
and in that case both EC and ED will meet at point E which is mid of AB?

Experts plz reply...

regards

for statemtn 2 u r right..but u didn't look at more possibilities

its GIVEN CDE is isosceles , BUT the sides which are equal its not given(that u assumed ED=EC)
any 2 sides can be equal. thats y its insufficient

hope it helps
Show more
yes any two sides can be equal but as it is square then in sideways triangles EC and ED are hypotenuse which is greater than side CD thus i m concluding only ED =EC

:roll:

thanks
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In the figure above, a circle is inscribed in square ABCD. What is the 04 Aug 2016, 13:34
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Hi rohit8865,

You are correct that statement 2 tells us that EC=ED because they are each a hypotenuse of a triangle that shares a side with the square, and therefore they must both be larger than the side length CD. That would also mean that point E is the midpoint of side AB. The real reason that statement 2 is insufficient is that it doesn't provide any of the side lengths. Without any measurements, we cannot calculate the area of the triangle.

Best,
Jennifer Kindy
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In the figure above, a circle is inscribed in square ABCD. What is the 22 Nov 2016, 22:40
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hi bunuel,

Can you pls explain this question ??
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In the figure above, a circle is inscribed in square ABCD. What is the 23 Nov 2016, 02:46
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rajendra00
hi bunuel,

Can you pls explain this question ??
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In the figure above, a circle is inscribed in square ABCD. What is the area of ∆ CDE?

Notice that the are of ∆ CDE is 1/2*(altitude)*(base) = 1/2*BC*CD. Since ABCD is a square then the area of ∆ CDE is 1/2*(side)^2.

(1) The circle has a radius of length 3 --> diameter = side of the square = 6 --> the area of ∆ CDE is 1/2*(side)^2 = 18. Sufficient.

(2) CDE is isosceles. No actual measurements are given. Not sufficient.

Answer: A.
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In the figure above, a circle is inscribed in square ABCD. What is the 18 Apr 2023, 03:07
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Bunuel KarishmaB

With regards to S2, seeing CDE is an isosceles triangle, does the question (or the GMAT in general) imply that CD = DE?
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In the figure above, a circle is inscribed in square ABCD. What is the 18 Apr 2023, 03:14
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achloes
Bunuel KarishmaB

With regards to S2, seeing CDE is an isosceles triangle, does the question (or the GMAT in general) imply that CD = DE?
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No. It can be that CD = DE, or CD = CE, or DE = CE.
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