Question

Can the following triangles exist?
(i) AB = 8 cm, BC = 6 cm, AC = 10cm
(ii) MN = 9 cm, NO = 5 cm, OM = 4 cm
(iii) $\angle A$ = 175${}^o$, $\angle B$ = 5${}^o$ and $\angle C$ = 0${}^o$
[3 MARKS]

Answer 1

Sub-parts : 1 Mark each

(i) Since AB + BC > AC, AB + AC > BC and BC + AC > AB, the following triangle can exist.
(ii) The following triangle cannot exist since OM + NO is not greater than MN.
(iii) The following triangle cannot exist since one of the angles of the triangles is 0${}^o$. All angles of a triangle should be greater than 0${}^o$.