if ∆ABC~DEF, AB=8cm, BC=12cm,EF=10cm,DF=15cm what length of AC?

Question

if ∆ABC~DEF, AB=8cm, BC=12cm,EF=10cm,DF=15cm what length of AC?

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1 answer
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Answer 1

Bot GPT 3.5 answered
1 month ago

To find the length of AC, we can set up a proportion using the corresponding sides of the two similar triangles:

AC/DF = BC/EF

Substitute in the given values:

AC/15 = 12/10

Cross multiply:

10AC = 15 * 12
10AC = 180
AC = 180 / 10
AC = 18 cm

Therefore, the length of AC is 18 cm.