Question

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⎯⎯⎯⎯⎯?

Enter your answer in the box.

cm
HELP PLEASE

Answer 1

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

Explanation:

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:)