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CAT 2016 Question Paper Quantitative Ability for online practice
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Question : 2
Total: 34
2
√
7
5cm
2
√
5
None of these
Validate
Solution:
Let’s drawAF perpendicular to BC.
In ΔADE, as AD = AE
∠AED = ∠ADE = 60°
⇒ ZDAE = 60°
Hence, we can conclude that ΔADE is an equilateraltriangle.
⇒
A
F
=
√
3
2
×
4
=
2
√
3
cm
and DF = FE = 2 cm
In ΔAFB, using Pythagoras’ Theorem,
A
B
=
√
A
F
2
+
B
F
2
=
√
(
2
√
3
)
2
+
4
2
=
2
√
7
c
m
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