Which one of the following sets of numbers could represent the lengths of the sides of a triangle? (a) (8,11,19) (b) (19,16,20), (c) (11,5,5) , (d) 13,4,8)?

1 Answer
CW
Dec 16, 2016

#(b) (19,16,20)#

Explanation:

The sum of the lengths of any two sides of a triangle must be greater than the third side.

#(a) (8,11,19) => 8+11# not greater than #19#, (N.G.)
#(b) (19,16,20) => 19+16 >20, 19+20>16, 16+20>19#, (OK)
#(c) (11,5,5) => 5+5 < 11#, (NG)
#(d) (13,4,8) => 4+8 < 13#, (NG).

Hence, option #(b)# is the only answer.

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