Given:-
[tex]\rightarrow[/tex] First side(a) of triangle = 17in.
[tex]\rightarrow[/tex] Second side(b) of triangle = 13in.
[tex]\rightarrow[/tex] Perimeter of triangle = 45in.
To Find:-
[tex]\rightarrow[/tex]Third side of the triangle.
Formula Used:-
[tex]\rightarrow[/tex] Perimeter of triangle = sum of all side(a+b+c).
Solution:-
[tex]\rightarrow[/tex] Perimeter of triangle = a + b + c.(putting the value of perimeter, side a and b from the above given)
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 17+13+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45\: = \: 30+c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{45-30\: = \:c}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{15in.\: = \: c}[/tex]
Therefore, third side = 15in.
[tex]\rightarrow[/tex]To convert this value into feet we need to divide it by 12, because there are 12 inches in a foot.
[tex]\rightarrow[/tex] [tex]\sf{\frac{15}{12}}[/tex]
[tex]\rightarrow[/tex] [tex]\sf{1.25feet}[/tex]
________________________________
Hope it helps you:)
