Question

Please solve for Y and X.​

Answer 1

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one. Check the picture below.

`\cfrac{y}{5}=\cfrac{11}{y}\implies y^2=55\implies y=√(55)\implies y\approx 7.4 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x}{5}=\cfrac{16}{x}\implies x^2=80\implies x=√(80)\implies x\approx 8.9`