SOLUTION: in a right triangle, the altitude to the hypotenuse is 5 units and the longer segment of the hypotenuse is 7 units. What is the nearest length of the hypotenuse to the nearest tent

The altitude to the base of a right triangle divides
the right triangle into two smaller triangles which are
similar to each other and to the whole given triangle.

Also the altitude to the base of a right triangle 
is a mean proportion between the two segments it divides
the hypotenuse into.

Therefore,

                   
                  
                   

Hypotenuse =  = 

Edwin