With Explanation please options are following A : 6.1 cm B : 5.4cm C : 5cm D : 4.8 cm
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Given : A triangle EFG has sides 6 cm, 5 cm and 2 cm. The median EX is drawn as shown.
To Find : Which of the following could be the length of EX
Solution:
EX is median
Hence FX = XG = FG/2 = 2/2 = 1 cm
ΔEFX
EF = 6 cm
FX = 1 cm
EX = ?
Sum of two sides greater than third side
Hence 5 < EX < 7
ΔEGX
EG = 5 cm
GX = 1 cm
EX = ?
Sum of two sides greater than third side
Hence 4 < EX < 6
5 < EX < 7
4 < EX < 6
Combining both
5 < EX < 6
in given options only
5.4 cm lies between 5 & 6 cm
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