The perimeters of ∆ABC and ∆DEF are 12cm and 48cm respectively such that ∆ABC⁓∆DFE and BC = 5cm then find FE.
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Given in △ABC, D,E,F are the mid points of sides AB,BC and CA respectively
Now using mid point theorem line segment joining the mid points of two sides is parallel to third side and also half of it.
∴DF=21BC
⇒BCDF=21 __i
Similarly ACDE=21____ii
ABEF=21_____iii
Using (i),(ii) and (iii)
BCDF=ACDEABEF=
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