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lidiya [134]
3 years ago
5

Triangles ABC and DEF are similar. what is the length of side EF

Mathematics
2 answers:
Leto [7]3 years ago
8 0
The anwser is either 2.88 or 3, But others are saying it is 3.
borishaifa [10]3 years ago
5 0

Answer:

The length of the side EF is 3cm.

Step-by-step explanation:

As both triangles are similar, their corresponding sides are in proportion.

This means that:

\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}

\frac{3}{4.5}=\frac{2}{x}=\frac{5}{7.5}

This proportion is called the scale factor.

Knowing this, we can find the value of x

\frac{3}{4.5}=\frac{2}{x}

x=2 *(\frac{4.5}{3})=\frac{9}{3}=3cm

So, the lenght of side EF is 3cm.

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