△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

26?

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)