Question

Is it possible to construct a triangle with length of its sides 5 cm 3 cm and 8 cm give reasons?

Answer 1

Step-by-step explanation:

A triangle with given sides can only be constructed if:

Sum of any two sides is always grater than the third side :

Here:

$5 + 8 > 3 \: \implies \: 11 > 3 \\ 8 + 3 > 5\: \implies \: 11 > 5 \\ But \\ 3 + 5 \ngtr \: 8 \: \implies \: 8 = 8, which\:\\defies\: the \: the\: given\: condition.$

Hence, it is not possible to construct a triangle with given measurements of sides.