Question

What is the measure of m?

n
m

28

7
m = [? ] V
Give your answer in simplest form.

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{35}{m}=\cfrac{m}{7}\implies 245=m^2\implies √(245)=m\implies √(7^2\cdot 5)=m\implies 7√(5)=m`