explain in short method
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Answer:
perimeter of triangle DEF is 12cm
Step-by-step explanation:
in short you know D is midpoint i.e AD = BD =8 cm therefore DE = 4 cm ( equilateral triangle)
we know perimeter of equilateral triangle= 3 a
3 × 4= 12cm
Answered by
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Step-by-step explanation:
In ∆ABC,
AB= BC=CA ... ( sides of an equilateral ∆)
AB= 8cm
therefore,
DE= 1/2 AB .... (1)( Midpoint theorem)
EF=1/2BC .... (2)
DF= 1/2CA ... (3)
therefore,
DE=EF=DF .... (4) ( from(1),(2)&(3))
DE= 1/2×8 .... (5) ( from(1))
= 4 cm
In∆DEF,
Perimeter = DE + EF+DF
= 4+4+4 ..... (from(4)&(5))
=12 cm
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