A) \[AB=4\text{ }cm,\text{ }BC=8\text{ }cm\]and \[CA=2\text{ }cm\]
B) \[BC=5.2\text{ }cm,\text{ }\angle S={{90}^{o}}\]and \[\angle C={{110}^{o}}\]
C) \[XY=5\text{ }cm,\text{ }\angle X={{45}^{o}}\]and \[\angle Y={{60}^{o}}\]
D) An isosceles triangle with the length of each equal side 6.2 cm.
Correct Answer: C
Solution :
A triangle is possible if (i) Sum of any two sides must be greater than the third side. (ii) Sum of all angles must be equal to\[{{180}^{o}}\]. So, in options (a) and (b) triangle are not possible. In option (d) we can draw more than one isosceles triangle with side length 6.2 cm. So, triangle is not unique.
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