I have a question regarding triangles which is puzzling me:
In triangle PQR , PR=7 and PQ=4.5 . Which of the following cannot represent the length of QR ? a)2.0 , b)3 , c)3.5 , d)4.5 , e)5.0
Any suggestions ?
The sum of the two smaller sides must be greater than the last side.
Any set of three lengths can represent the sides of a triangle provided the largest is smaller than the other two combined.
Therefore, the answer is (a) 2.0. The length PR of 7 is too long to support sides of 4.5 and 2.0.