GEOMETRY! PLEASE SHOW YOUR WORK. (updated picture)

Given:

The base of the given triangle has two part:

Left( left side of the hypotenuse) = 25

Right ( right side of the hypotenuse) = x

The altitude (h) = 60

To find the value of x.

Formula:

By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,

Now,

Putting,

left = 25, altitude = 60 and right = x we get,

or, [ by cross multiplication]

or,

or,

Hence,

The value of x is 144.