Question

△XYZ∼△DEF , YZ is 10 meters, ​ XZ ​ is 15 meters, and EF is 8 meters.

What is ​ DF ​?

____ m

Answer 1

DF= 12

Explanation:

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Answer 2

The measure of KL is 12 meters.

Explanation:

It is given that △XYZ∼△DEF.

The corresponding sides of two similar triangles are proportional.

`(YZ)/(EF)=(XZ)/(DF)`

`(10)/(8)=(15)/(DF)`

`10* DF=15* 8`

Divide both sides by 10.

`DF=(120)/(10)`

`DF=12`

Therefore we can say that if △XYZ∼△DEF, then the measure of DF is 12 meters.