Question

In a triangle abc, medians ad and ce are drawn. If , and , then the area of the triangle abc is equal to

Answer 1

k = 1/12  , Median ad and ce of triangle abc intersect in m.The mid point of ae is n.If the area of mne is k times the area of triangle abc

Step-by-step explanation:

The three medians together divide a triangle into six equal parts,

=> Area of Δ AME =  (1/6) Area of ΔABC

N is mid point of AE

=> Area of Δ MNE = (1/2) Area of Δ AME

=> Area of Δ MNE = (1/2) (1/6) Area of ΔABC

=> Area of Δ MNE = (1/12) Area of ΔABC

Area of Δ MNE = = k (Area of ΔABC)

=> k = 1/12

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