Which of the following cannot be the length of triangle

4.5k Views Asked by Bumbble Comm At 14 May 2026 - 10:52

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 ?

There are 2 best solutions below

Bumbble Comm On 18 Jun 2012 - 9:16 BEST ANSWER

The sum of the two smaller sides must be greater than the last side.
So 2 can't be the length of QR : 2+4.5=6.5<7

Bumbble Comm On 18 Jun 2012 - 9:19

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.