Question

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

Answer 1

Answer:

The measure of KL is 12 meters.

Step-by-step explanation:

It is given that  △XYZ∼△DEF.

The corresponding sides of two similar triangles are proportional.

$\frac{YZ}{EF}=\frac{XZ}{DF}$

$\frac{10}{8}=\frac{15}{DF}$

$10\times DF=15\times 8$

Divide both sides by 10.

$DF=\frac{120}{10}$

$DF=12$

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

Answer 2

So similar triangles have the same ratio 10/8=1.25 therefore 15/12=1.25 so DF=12M