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Difficulty:
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90% (01:18) correct
10%
(02:32)
wrong
based on 21
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Not Attempted Yet
In the figure above, what is the perimeter of the shaded region?
A. 10
B. 11
C. 7√3
D. 12
E. 13
Attachment:
2022-11-25_18-29-04.png [ 19.78 KiB | Viewed 1198 times ]
28 Nov 2022, 00:19
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In \(\triangle ABD\)
BD = 3 units
Therefore AD = 3 units as \(\angle BAD = \angle ABD\)
In \(\triangle AEC\)
EC = 4 units
Therefore AE = 3 units as \(\angle EAC = \angle ACE\)
In \(\triangle ADE\)
\(\angle DAE = 90^{\circ} \)
Therefore DE = 5 units (Pythagoras triplet)
Perimeter = 3+4+5 = 12 units
Option D
BD = 3 units
Therefore AD = 3 units as \(\angle BAD = \angle ABD\)
In \(\triangle AEC\)
EC = 4 units
Therefore AE = 3 units as \(\angle EAC = \angle ACE\)
In \(\triangle ADE\)
\(\angle DAE = 90^{\circ} \)
Therefore DE = 5 units (Pythagoras triplet)
Perimeter = 3+4+5 = 12 units
Option D
Attachments
Screenshot 2022-11-28 124336.png [ 49.96 KiB | Viewed 1037 times ]
