Triangle DEF is similar to triangle ABC, and the length of EF is 5cm. What are the lengths of sides DE is 6cm and DF is 8cm centimeters?

Step-by-step explanation:

Given that,

∆DEF is similar to ∆ABC

∆DEF ≈ ∆ABC

Then, using similar triangle properties

DE / AB = DF /AC = EF / BC

Given that,

EF = 5cm, DE = 6cm and DF = 8cm

6 / AB = 8 / AC = 5 / BC

We need one more data, to solve this problem, so the question is not complete, but let assume AC is 16cm

Then, we can find AB and BC

So, taking each part of the equation

6 / AB = 8 / AC

Since we assumed AC = 16cm

6 / AB = 8 / 16 = ½

6×2 = AB

AB = 12cm

Taking the other parts of the equation

8 / AC = 6 / BC

8 / 16 = 5 / BC

½ = 5 / BC

Bc = 2 × 5

BC = 10cm.

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