MernaLoukidis MernaLoukidis

15-07-2014
Mathematics

Answered

A triangle has two sides of length 5 and 12. what value could the length of the third side be? More then one can be correct.

a.7

b.5

c.19

d.17

e.11

f.9

Verified Answer :

06-08-2014

\(Condition\ for\ existing\ triangle\\\\ a,b,c- sides\ of\ triangle\\\\ a+b>c\\a+c>b\\b+c>a\\ 5+12=17\\\\ a)\ 7<5+12,\ 5+7>12 \ , 7+12>5 \\ b)\ 5<5+12,\ \ 5+5 ot>12\\c)19 ot<5+12\\d)17 ot<5+12\\e)11<12+5,\ \ 11+5>12,\ 11+12>5 \\f)9<12+5,\ \9+5>12\ \ 12+9>5 \\\Third \side\ can\ be\ a,e,f\)

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