how to solve this pls tell me
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Answer:
△ABC: 9 , 15 and 12 cm
△DEF: 18, 30, 24 cm
Step-by-step explanation:
△ ABC is similar to △ DEF
Find the scale factor:
Scale factor = 3x/6x = 1/2
Solve x:
(2x - 1)/18 = 1/2
2(2x - 1) = 18
4x - 2 = 18
4x = 20
x = 5
In △ABC:
AB = 2x -1 = 2(5) - 1 = 9 cm
AC = 3x = 3(5) = 15 cm
BC = 2x + 2 = 2(5) + 2 = 12 cm
In △DEF:
DE = 18 cm
DF = 6x = 6(5) = 30 cm
EF = 3x + 9 = 3(5) + 9 = 24 cm
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