Question

In triangle RST, XY||RS
If TX=3, XR=TY and YS=6 find XR

Answer 1

The triangle RST and the triangle XYT are similar.

Therefore we have a proportion:


`(3)/(a)=(a)/(6)\ \ \ |cross\ multiply\\\\a\cdot a=3\cdot6\\\\a^2=18\to a=√(18)\\\\a=√(9\cdot2)\\\\a=\sqrt9\cdot\sqrt2\\\\\boxed{a=3\sqrt2}`