Answer: In the given figure EC= 2 S AE= 2 3 S AS c ′ is the centroid of △ABC ⇒C ′ E= 3 1 AE= 2 3 S CC ′ = 3 S Now, In △DC ′ C Using Pythagoras theorem (DC ′ ) 2 =(CC ′ ) 2 +(CD) 2 h 2 + 3 S 2 =S 2 ⇒h 2 = 3 2S 2 ⇒S 2 = 2 3h 2 Reply
Answer:
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Answer:
In the given figure
EC=
2
S
AE=
2
3
S
AS c
′
is the centroid of △ABC
⇒C
′
E=
3
1
AE=
2
3
S
CC
′
=
3
S
Now, In △DC
′
C
Using Pythagoras theorem
(DC
′
)
2
=(CC
′
)
2
+(CD)
2
h
2
+
3
S
2
=S
2
⇒h
2
=
3
2S
2
⇒S
2
=
2
3h
2