The two shortersidesof the triangleare and. The longestside of the triangleis. First find the
sum of the squaresof the two shorterlegs.
The sum of the squaresof the two shorterlegs is Comparethis to the squareof the longestside,The squareof the longestside is Therefore,the two valuesare not equal, and this tri-angleis not a right triangle.Comparethe two values, and to identifywhichis greater.
Sincethe sum of the squareof the shortersidesis greaterthan the squareof the longestside,this is an
acutetriangle.
Example 5
Classifythe trianglebelowas right,acute,or obtuse.The two shortersidesof the triangleare and. The longestside of the triangleis. First find the
sum of the squaresof the two shorterlegs.
The sum of the squaresof the two legs is. Comparethis to the squareof the longestside,.