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Triangle FGH is dilated by a scale factor of 5 to form triangle F'G'H'. Side F'G'
measures 15. What is the measure of side FG?

Sagot :

Answer:

The measure of side FG is 3.

Step-by-step explanation:

Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.

From the given question,

scale factor = 5

measure of side F'G' = 15

Thus,

scale factor = [tex]\frac{measure of side F'G'}{measure of side FG}[/tex]

side F'G' = scale factor x side FG

⇒ 15 = 5 x side FG

So that,

side FG = [tex]\frac{15}{5}[/tex]

             = 3

The measure of side FG is 3.