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Question
In ∆DEF, DN, EO, FM are medians and point P is the centroid. Find the following
If OE = 36 then EP = ?
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Solution
Given DN, EO, FM are medians.
∴ FN = EN
DO = FO
EM = DM
If OE = 36
then `"EP"/"PO" = 2/1`
`"EP"/2` = PO
OE = OP + PE
36 = `"PE"/2 + "PE"`
36 = `"PE"/2 + (2"PE")/2`
36 = `(3"PE")/2`
PE = `(36 xx 2)/3`
PE = 24
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