Now find the geometricmeanof and to identifythe lengthof the altitude.So, inches.LessonSummary
In this lesson,we exploredhow to workwith differentradicalsboth in theoryand in practicalsituations.
Specifically, we havelearned:
- How to identifysimilartrianglesinscribedin a largertriangle.
- How to evaluatethe geometricmeanof variousobjects.
- How to identifythe lengthof an altitudeusingthe geometricmeanof a separatedhypotenuse.
- How to identifythe lengthof a leg usingthe geometricmeanof a separatedhypotenuse.
Theseskillswill help you solvemanydifferenttypesof problems.Alwaysbe on the lookoutfor new and in-
terestingwaysto find relationshipsbetweensidesand anglesin triangles.
Pointsto Consider
How can you use the PythagoreanTheoremto identifyotherrelationshipsbetweensidesin triangles?
LessonExercises
- Whichtrianglesin the diagrambeloware similar?
- Whatis the geometricmeanof two line segmentsthat are and inches,respectively?
- Whatis the geometricmeanof two line segmentsthat are cm each?