The lengths of three segments are given for constructing a triangle. Say whether a triangle with these sides can be drawn or not.Give the reason. [03] (Understanding)
(i) 6.5 cm, 5 cm, 6.5 cm
(ii) 2 cm, 3 cm, 6 cm.
(iii) 6 cm, 4 cm, 5 cm.
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Step-by-step explanation:
Theorem to be used in solving this question :-
"The sum of any two sides of a triangle is always greater than the third side."
(i) Yes. As the sum of any two sides is greater than the third side.
(ii) No. As the sum of a pair of two sides is not greater than the third side. 2 + 3 < 6
(iii) Yes. As the sum of any two sides is greater than the third side.
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