The squareof the longestside is Sincethesetwo valuesare equal, , and this is a
right triangle.
LessonSummary
In this lesson,we exploredhow to workwith differentradicalexpressionsboth in theoryand in practicalsit-
uations.Specifically, we havelearned:
- How to use the converseof the PythagoreanTheoremto provea triangleis right.
- How to identifyacutetrianglesfrom side measures.
- How to identifyobtusetrianglesfrom side measures.
- How to classifytrianglesin a numberof differentways.
Theseskillswill help you solvemanydifferenttypesof problems.Alwaysbe on the lookoutfor new and in-
terestingwaysto applythe PythagoreanTheoremand its converseto mathematicalsituations.
Pointsto Consider
Use the PythagoreanTheoremto explorerelationshipsin commonright triangles.Do you find that the sides
are proportionate?
LessonExercises
Solveeachproblem.
For exercises1-8, classifythe followingtriangleas acute,obtuse,or right basedon the givenside lengths.
Note,the figureis not to scale.