In abc the measure of side c is 3.9cm if def has a dilation of abc with a scale factor of 2.5

Complete Question:

In ABC, the measure of sides c is 3.9 cm If DEF is a dilation ABC with a scale factor of 2.5 what is the measure of side f

f = 9.75

Step-by-step Explanation:

From the information given, a sketch of ∆ABC and ∆DEF with their corresponding sides and angles have been attached below.

∆DEF is a dilation of ∆ABC, which is said to be on a scale factor of 2.5.

The scale factor is a whole number, this implies that ∆DEF is an enlargement of ∆ABC.

Since side c = 3.9 cm, in ∆ABC corresponds to side f, in ∆DEF, therefore, the measure of f would be:

f = measure of c × scale factor

f = 3.9 cm × 2.5

f = 9.75

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