A line drawn parallel to the side BC of triangle ABC intersects side AB at P and
side AC at Q. The measurements AP = 3.8 in, PB = 7.6 in, and AQ = 5.6 in are made.
If segment QC were now measured, how long would it be?

Question

A line drawn parallel to the side BC of triangle ABC intersects side AB at P and
side AC at Q. The measurements AP = 3.8 in, PB = 7.6 in, and AQ = 5.6 in are made.
If segment QC were now measured, how long would it be?

michele_laino · Answer

hint:
here we have to solve this equation:
$$\frac{{3.8}}{{7.6}} = \frac{{5.6}}{x}$$
where x is the requested length, namely QC=x