Question

Are the following triangles possible?
(i) AB = 4 cm, BC = 5.6 cm, AC = 10 cm
(ii) $\angle A$ = 60${}^o$, $\angle B$ = 120${}^o$, $\angle A$ = 30${}^o$
[4 MARKS]

Answer 1

Answer with Reason : 2 Marks each

(i) Triangle ABC is not possible. This is because for any triangle, the sum of two sides should be greater than the third but AB + BC < AC.

(ii) Triangle ABC is not possible. Sum of all angles in a triangle should be 180${}^o$ but here

$\angle A$(60${}^o$) + $\angle B$(120${}^o$) + $\angle A$(30${}^o$) = 210${}^o$