If in a triangle ABC, BE and CF are two medians perpendicular

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If in a triangle ABC, BE and CF are two medians perpendicular to each other and if AB = 19cm and AC = 22 cm then the length of BC is

1. 19.5 cm
2. 26 cm
3. 20.5 cm
4. 13 cm

Correct Option: C

As per the given in question , we draw a figure triangle ACB in which BE and CF are two medians perpendicular to each other ,

Here , AB = 19cm and AC = 22
FE | | BC
∆ AFE ~ ∆ ABC

BC =	1	(AB + AC)
	2

BC =	1	(19 + 22) = 20.5 cm.
	2