In a ∆ABC;D,E and F are respectively the midpoints of sides AB,BC and CA.If perimeter of
∆DEF=15cm,DF=6cm,DE=4cm,then perimeter of ∆ADF is (a)15cm(b)20cm(c)25cm
(d)30cm
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Correct option is B)
Given: AB=3cm, BC=2cm and CA=2.5cm and EF=4cm
Also, △ABC∼△DEF
Thus,
DE
AB
=
EF
BC
=
DF
AC
DE
3
=
4
2
=
DF
2.5
Hence, DE=6cm and DF=5cm
Perimeter of Δ DEF = DE+EF+EF
Perimeter of Δ DEF = 4+5+6
Perimeter of Δ DEF = 15 cm
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SIMILAR QUESTIONS
star-struck
△ABC∼△DEF. IF BC=4cm, EF=5cm and area (△ABC)=32cm
2
, determine the area of △DEF.
Easy
View solution
>
In △ABC,AD is the median to BC and in △PQR, PM is the median to QR. If
PQ
AB
=
QR
BC
=
PM
AD
. Prove that △ABC∼△PQR.
Medium
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