geometry
posted by cody .
find the geometric mean of the pair of numbers 99 and 11
kristen lives directly east of the park the football field is directly south of the park the library sits on the line between kristens home and the football field at the exact point where an altitude to the right formed by her home the park and the football field could be drawn the library is 4 miles from her home the football field is 10 miles from the library.

i figured out the mean sqrt of 1089=33

* The altitude to the hypotenuse of a right triangle creates two similar triangles, each similar to the original right triangle and to each other.
* The altitude to the hypotenuse of a right triangle is the geometric mean between
the segments of the hypotenuse created by the point where the altitude intersects the hypotenuse or h^2 = xy.
* With an altitude drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse in
contact with the leg. 
the hypotenuse of a triangle is 17cm long. if one of the remaining two sides is of leanth 8 cm find the length of the third side