triangle abc~triangle def if ab=11 cm bc=10cm de=5.5cm then ef=?
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Step-by-step explanation:
Triangle ABC and DEF are two similar triangle.
Therefore,
(1) their corresponding angles are equal and
(2) their corresponding sides are proportional
= AC / DF = BC/ EF = 2.5/7.5=3.5/EF
= EF= 3.5×7.5/2.5= 3.5×3= 10.5cm
again,
AB/DE=BC/EF= 4/DE=3.5/10.5
DE=105×4/35=12cm
PERIMETER of triangle DEF= sum of all three sides.
DE+EF+DF= 12+10.5+7.5= 30cm
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