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UPSC CDS Math Area and Perimeter Questions
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© examsnet.com
Question : 50
Total: 116
In the equilateral triangle ABC given below, AD = DB and AE = EC. If I is the length of a side of the triangle, then what is the area of the shaded region ?
[2018 CDS-I]
3
√
3
l
2
16
3
l
2
16
3
√
3
l
2
32
3
l
2
32
Validate
Solution:
Remember: D and E are midpoints of AB and AC. Therefore, in the equilateral triangle ABC, the area of ΔADE = area of ΔDEF = area of ΔDBF = area of ΔEFC
Area of DEBC = 3 × area of ΔADE
3
×
√
3
4
(
l
2
)
2
=
3
√
3
l
2
16
© examsnet.com
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