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Answer:
DF = 7.5
Step-by-step explanation:
Since the 3 sides are congruent, then
EF = DE , that is
4.5m - 42 = 1.5m - 9 ( subtract 1.5m from both sides )
3m - 42 = - 9 ( add 42 to both sides )
3m = 33 ( divide both sides by 3 )
m = 11
Thus
DE = 1.5m - 9 = 1.5(11) - 9 = 16.5 - 9 = 7.5
Then
DF = 7.5
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Rewritten by : Barada
To find the value of DF in an equilateral triangle, we can use the fact that all sides of an equilateral triangle are equal. Given the values of DE and EF, we can solve for DF.
To find the value of DF in an equilateral triangle, we can use the fact that all sides of an equilateral triangle are equal. So, DE = EF = DF. Given that DE = 1.5m - 9 and EF = 4.5m - 42, we can set them equal to each other and solve for DF.
1.5m - 9 = 4.5m - 42
Subtracting 1.5m from both sides and adding 42 to both sides, we get DF = 2.07m - 33.
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