Question

Need help with this question 88 points

Answer 1

Lets draw a picture:

We can see that triangle ABC and triangle BCD are similar. Then the following ration must be preserve:

`(short \: leg \: (medium))/(hypotenuse \: (med)) = (short \: leg \: (large))/(hypotenuse \: (large))`

Which gives:

`(x)/(18) = (24)/(30)`

If we move 18 to the right hand side, we get

`x = 18 \: (24)/(30)`

Which gives:

`x = \: (432)/(30) \\ x = 14.4`

Then, x is equal to 14.4 units.