In every triangle, the largest side, is opposite the largest angle.
Also, the smallest side, is opposite the smallest angle.
a.[tex]70^o\ \textgreater \ 60^o\ \textgreater \ 50^o[/tex] so [tex]|RQ|\ \textgreater \ |PR|\ \textgreater \ |PQ|[/tex],
because RQ is opposite angle P, the largest,
PR is opposite angle Q , the middle
and PQ is opposite angle R, the smallest.
Greatest side: RQ
b. The sum of the measures of the interior angles of any triangle is 180°,
so
[tex]m(A)+m(B)+m(C)=180^o\\\\50^o+45^o+x=180^o\\\\x=180^o-50^o-45^o=85^o[/tex]
thus, m(C) is the largest angle. This means the largest side is the side AB.
Answers:
a) RQ
b)AB
