1. ## similar triangles

Express x in terms of the other variables in the diagram below:

l.
r l ' ' , .
l h l ' , .
l_______l____>
x t

Assuming that is a (poorly drawn) triangle and angle XR and TH are right angles.

2. Hello, white_cap!

Express $x$ in terms of the other variables in the diagram below:
Code:
      *
|   *
|       *
r|       |   *
|       |h      *
|       |           *
* - - - * - - - - - - - *
x           t
We have two similar right triangles.

Hence: . $\frac{x+t}{r} \:=\:\frac{t}{h}$

Solve for $x\!:\;\;x + t \:=\:\frac{rt}{h}\quad\Rightarrow\quad x \;=\;\frac{rt}{h} - t$

Therefore: . $x \;=\;\frac{t(r-h)}{h}$

3. Thanks for the help! even with the messy diagram of mine.