in triangle ABC AB=4 BC=2 √3 AC= 2 √7 then the length of the median of the longest side is _
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Answered by
0
Answer:
21 okkkkkkkkkkkkkkklkkk
Answered by
1
Answer:
Step-by-step explanation:
D= mid point of BC (since BD is median)
D=(
2
3+0
,
2
2+1
,
2
4+0
)=(
2
3
,
2
3
,2)
BD=1/2BC=
2
1
(3−0)
2
+(2−1)
2
+(0−4)
2
=
2
1
9+1+16
BD=
2
1
26
using appollonius theorem :
AB
2
+AC
2
=2(AD
2
+(BD)
2
)
⇒AD
2
=
2
1
[AB
2
+AC
2
]−(BD)
2
AD
2
=
2
1
[(
2
)
2
+(
20
)
2
]0−(BD)
2
=
2
1
[22]−
4
26
=9/2
∴AD
2
=
4
18
⇒AD=
2
3
2
=
∴ length of median through A=3/
2
units.
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