Question

Winch measurements are able to construct a triangle?

A) 4 cm, 7 cm, 11 cm

B) 2 cm, 3 cm, 6 m

C) 5 cm, 6 m, 8 m

D) 9 cm, 2 cm, 5 cm

Answer 1

Correct option is  C) 5 cm, 6 m, 8 m

Sum of two sides in a triangle is always greater than the third side of the triangle.

(A) 4 + 7 = 11 not strictly greater

Thus, these sides do not form any triangle.

(B) 2 + 3 = 5 < 6

Thus, these sides do not form any triangle.

(C) 5 + 6 = 11 > 8

6 + 8 = 14 > 5

5 + 8 = 13 > 6

Thus, these sides will form a triangle.

(D) 2 + 5 = 7 < 9

Thus, these sides will form a triangle.

(D)