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Triangle ABC is similar to triangle DEF . The length of AC⎯⎯⎯⎯⎯ is 12 cm. The length of BC⎯⎯⎯⎯⎯ is 18 cm. The length of DF⎯⎯⎯⎯⎯ is 10 cm.



What is the length of EF⎯⎯⎯⎯⎯?

Respuesta :

Answer:

The length of EF is 15 cm.

Step-by-step explanation:

In the similar triangles, the sides are in proportion.

AC/DF =BC/EF

AC =12, BC = 18 and DF = 10

Now plug in these values in the proportion and find the value EF

12/10 = 18/EF

Cross multiplying, we get

12 EF = 18 *10

12EF =180

EF = 180/12

EF = 15

The length of EF is 15 cm.

Hope you will understand the concept.

Thank you.

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