To find , the leg of the largeright triangle,find the geometricmeanof the adjacentsegmentsof the hy-potenuseand the entirehypotenuse.In this case,you needto find the geometricmeanof and. To
find the geometricmean,find the productof the two numbersand then take the squareroot of that product.
So, millimetersor approximately millimeters.Example 6
If, whatis the value
in the trianglebelow?
To find in this triangle,find the geometricmeanof the adjacentsegmentof the hypotenuseand the
entirehypotenuse.Makesure that you fill in missinginformationin the diagram.You knowthat the two
shortersectionsof the hypotenuseare inchesand inches,but you needto knowthe lengthof the
entirehypotenuseto find the geometricmean.To do this, add.
So, inches.Write this measurementon the diagramto keeptrackof your work.