△xyz∼ △ def, yz is 10 meters, xz is 15 meters, and ef is 8 meters. what is df?

△ XYZ∼ △ DEF, YZ is 10 meters, XZ is 15 meters, and EF is 8 meters. What is DF?

Solution:

As, △ XYZ∼ △ DEF , so the ratio of sides of triangle is equal.

So, we have,

Using,

So, we get,

Now, to solve for DF, we must simplify

Simplifying,

To simplify, Let us multiply by 4*DF on both sides

So, 5 DF=15*4=60

To solve for DF, let us divide by 5 on both sides

So, DF=12meters