In a triangle p,q and r are the mid points of sides BC,CA and ab respectively.if ac=21cm,bc=29cm and ab= 30cm, find the perimeter of the quadrilateral ARPQ
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Given that,
AB = 7cm, BC = 8cm, AC = 9cm
In ∆ABC,
F and E are the mid points of AB and AC.
∴EF=12BC
Similarly
DF=12ACandDE=12AB
Perimeter of ∆DEF = DE + EF + DF
= 12AB+12BC+12AC
=12∗7+12∗8+12∗9
=3.5 + 4 + 4.5
=12cm
∴PerimeterofΔDEF=12cm
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