Question

Find the measure of 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{x}{11}~~ = ~~\cfrac{4}{x}\implies x^2=44\implies x=√(44)\implies x=2√(11)`