Question

Find the exact value 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{6}{x}=\cfrac{x}{8}\implies 48=x^2\implies √(48)=x\implies √(4^2\cdot 3)=x\implies 4√(3)=x`