This geometry task may be helpful for devising a mathematica

This geometry task may be helpful for devising a mathematical procedure for the next lab. A right triangle has legs of known lengths 2L and h. Find the length of the line segment x which is parallel to side h. Explain your reasoning.

Solution

as we can see the lines of length x and h are parallel and the acute angle formed is same for both/

(x/L)=(h/2L)

x=h/2