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Triangle DEF is similar to triangle ABC. What is the length of segment EF? (HINT use scale factor) (Leave answer as a fraction)

Triangle DEF is similar to triangle ABC What is the length of segment EF HINT use scale factor Leave answer as a fraction class=

Respuesta :

We have been given two similar triangles. We are asked to find the length of segment EF.

We know that corresponding sides of similar triangles are proportional, so we will use proportion to solve our given problem.

[tex]\frac{EF}{DF}=\frac{BC}{AC}[/tex]

Upon substituting measure of our given side lengths, we will get:

[tex]\frac{EF}{1}=\frac{5}{13}[/tex]

[tex]EF=\frac{5}{13}[/tex]

Therefore, the length of segment EF is [tex]\frac{5}{13}[/tex] units.