is it possible to build a triangle using the given side lengths? if so, list the angles of the triangle in order from least to greatest measure. PQ=sqrt (58), QR=2sqrt (13), PR=5sqrt (2)
To build a triangle we need that the sum of any two given sides to be greater than the third side. PQ+QR= sqrt(58)+2sqrt(13)=14.82687566 >PR ✅ QR+PR= 2sqrt(13)+5sqrt(2)=14.28217036 >PQ✅ PQ+PR= Sqrt(58)+5sqrt(2)=14.68684092>QR✅ So YES we can make a triangle with those dimensions
The least angle will be opposing the least side so will have Angle PQR, angleQPR, angleQRP Q /\ / \ P—— R
