∆ABC ~ ∆DEF.If ABC=36,DEF= 81 &EF=9.6what is BC?
a)9.6
b) 6.4
c)6.9
d)3.2
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it's wrong, because the angles should be equal.
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Answer:
BC= 6.4
Step-by-step explanation:
According to the formula,
The ratio of area of the similar triangle is equal to the square of the side of the similar triangle.
Ar( ABC)/Ar (DEF)= 36/81 = (Side of ABC/Side of DEF)^2
(Side of ABC/ Side of DEF)^2= 36/81
BC/EF = √(36/81)
BC/EF= 6/9= BC/9.6
BC= 6*9.6/9
BC= 3.2*2
BC= 6.4 cm
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