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In the figure above, a circle is inscribed in square ABCD. What is the

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In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 13 Dec 2015, 05:48
3
4
00:00
A
B
C
D
E

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  55% (hard)

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61% (01:32) correct 39% (01:33) wrong based on 201 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.

Attachment:
2015-12-13_1646.png
2015-12-13_1646.png [ 19.45 KiB | Viewed 2517 times ]

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Re: In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 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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Re: In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 31 Jul 2016, 04:21
Bunuel wrote:
Image
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.

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
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Re: In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 31 Jul 2016, 04:58
rohit8865 wrote:
Bunuel wrote:
Image
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.

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
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Re: In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 31 Jul 2016, 05:18
hsbinfy wrote:
rohit8865 wrote:
Bunuel wrote:
Image
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.

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

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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Re: In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 04 Aug 2016, 13:34
1
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.

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Re: In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 22 Nov 2016, 22:40
hi bunuel,

Can you pls explain this question ??
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Re: In the figure above, a circle is inscribed in square ABCD. What is the  [#permalink]

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New post 23 Nov 2016, 02:46
2
1
rajendra00 wrote:
hi bunuel,

Can you pls explain this question ??


Image
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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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