A right triangle has leg lengths of 7 and 24 units. A second triangle is similar to the first triangle and has a hypotenuse of 100 units. What is the length, in units, of the shorter leg of the second triangle?
There is a difference of a factor of 4 between the two triangles. So, the legs of the 2nd triangle would be:
4 x 7 = 28 units(the shorter leg) and 4 x 24 = 96 units(the longer leg).
So that: 100^2 = 28^2 + 96^2