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In triangle ABC, M ,N and P are the mid-...

In `triangle ABC`, `M ,N` and `P` are the mid-points of `A B ,A C` and `B C` respectively. If `M N=3c m ,N P=3. 5c m` and `M P=2. 5c m ,` calculate `B C ,A B` and `A Cdot`

A

BC = 6 cm
AB = 7cm
AC = 5cm

B

BC = 6 cm
AB = 7cm
AC = 8cm

C

BC = 6 cm
AC = 7cm
AB = 5cm

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
In`/_ABC`
Since, H is the mid point of AB and N is the mid point of AC
MN||BC and `MN=1/2BC`
BC=2MN
P is midpoint of BC
PN||AB and `PN=1/2AB`
NP||AC and `MP=1/2AC`
BC=2*3=6cm
...
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