CK12 - Geometry

So, the geometricmeanof the two segmentswouldbe a line segmentthat is cm in length.Use these
conceptsand strategiesto completeexample2.

Example 2

In below, whatis the geometricmeanof and?

Whenfindinga geometricmean,you first find the productof the itemsinvolved.In this case,segment

is inchesand segment is inches.Thenfind the squareroot of this product.

So, the geometricmeanof and in is inches.

Altitudeas GeometricMean

In a right triangle,the lengthof the altitudefrom the right angleto the hypotenuseis the geometricmeanof

the lengthsof the two segmentsof the hypotenuse.In the diagrambelowwe can use

to createthe proportion. Solvingfor ,.

You can use this relationshipto find the lengthof the altitudeif you knowthe lengthof the two segmentsof
the dividedhypotenuse.

Example 3