What is the length of EF⎯⎯⎯⎯⎯?

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⎯⎯⎯⎯⎯?

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cm
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1 Answer
Mar 27, 2018

The length of EF=15 cm.
For the process, refer to the explanation:

Explanation:

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As, the question states that the triangles are similar; their ratios are also equal.
(AC)/(DF)= (AB)/(DE)= (CB)/(EF)

So,according to the equation,
12/10= (AB)/(DE)= 18/(EF)

Now taking the first and third equation,

12/10=18/(EF)

or, 12 xx EF = 10 xx 18

or, EF= 180/12

or, EF= 15

:. the length of EF= 15 cm.

I hope it really helps you understand the question:)