1.

Which of the following measurements are correct to construct a triangle?A) 2 cm, 3 cm, 5 cmB) 4 cm, 5 cm, 7 cmC) 1 cm, 2 cm, 3 cmD) 5 cm, 6 cm, 13 cm

Answer»

Correct option is B) 4 cm, 5 cm, 7 cm

Sum of any two sides is always greater than the third side.

(A) 2 + 3 = 5 not strictly greater

Thus, these sides do not form any triangle

(B) 4 + 5 = 9 > 7,

4 + 7 = 11 > 5 and

5 + 7 = 12 > 4

Thus, these sides will form a triangle.

(C) 1 + 2 = 3 not strictly greater

Thus, these sides do not form any triangle

(D) 5 + 6 = 11 < 13

Thus, these sides do not form any triangle.



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