Question

Which of the following sets of numbers could not represent the three sides of a triangle?

A.{6,18,23\}
B.{8,10,20\}
C.{13,16,26}
D.{6,14,19\}{

Answer 1

B

Explanation:

to build a triangle the sum of lengths of any and every pair of lines must be longer than the third line.

like in A we have

6+18>23 true

6+23>18 true

18+23>6 true

so, it is a triangle.

but in B we have

8+10<20

and therefore it cannot be a triangle (the endpoints cannot connect).