Answer:
A. 13, 10, 16
Step-by-step explanation:
If three sides of triangle have measures a, b and c, then
[tex]a+b>c\\ a+c>b\\b+c>a[/tex]
Check all options:
A. a=13, b=10, c=16
Thus,
[tex]a+b=13+10=23>16=c\\a+c=13+16=29>10=b\\b+c=10+16=26>13=a[/tex]
This option is true
B. a=1, b=2, c=3
Then
[tex]a+b=1+2=3=c,[/tex] but [tex]a+b[/tex] must be greater than c, so
this option is false
C. a=5.2, b=11, c=4.9
Then
[tex]a+c=5.2+4.9=10.1<11=b,[/tex] but [tex]a+c[/tex] must be greater than b, so
this option is false
D. a=208, b=9, c=219
Then
[tex]a+b=208+9=217<219=c,[/tex] but [tex]a+b[/tex] must be greater than c, so
this option is false
