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655-705 (Hard)|   Geometry|      
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Bunuel
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In the figure above, AC = 5. If a = b and d = c/2, what is CD? 06 Jun 2017, 10:08
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C
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55% (hard)

Question Stats:

64% (02:42) correct 36% (02:38) wrong based on 173 sessions

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NOTE: Figure not drawn to scale.

In the figure above, AC = 5. If a = b and d = c/2, what is CD?

A. 5/2

B. 4

C. 5

D. 13/2

E. It cannot be determined from the information above

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Triangle_ABD.png
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C
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In the figure above, AC = 5. If a = b and d = c/2, what is CD? 06 Jun 2017, 10:58
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AC=5 and Angle b = Angle a
which means BC = AC=5
and also angle d = angle CBD
so BC=CD=5
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In the figure above, AC = 5. If a = b and d = c/2, what is CD? 06 Jun 2017, 11:13
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Ans : C
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In the figure above, AC = 5. If a = b and d = c/2, what is CD? 13 Feb 2019, 02:31
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Bunuel

NOTE: Figure not drawn to scale.

In the figure above, AC = 5. If a = b and d = c/2, what is CD?

A. 5/2

B. 4

C. 5

D. 13/2

E. It cannot be determined from the information above

Show Spoiler
Attachment:
Triangle_ABD.png
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In BCD,
< BCD = 180 - c

by Angle Sum Property of Triangle(Sum of all angles is 180)
<BCD + d + <CBD = 180
d= c\2 (given)

180 - c + c\2 + <CBD = 180
<CBD = c\2

Therefore, CD = CB (<CBD = <CDB= c\2 )
CD = 5
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In the figure above, AC = 5. If a = b and d = c/2, what is CD? 13 Feb 2019, 06:09
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vasu7900
AC=5 and Angle b = Angle a
which means BC = AC=5
and also angle d = angle CBD
so BC=CD=5
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The ans. to this question is C
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In the figure above, AC = 5. If a = b and d = c/2, what is CD? 03 Feb 2021, 19:01
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