Question

c)
To construct a triangle, which of the following values of lengths of sides of a
triangle can be used?
(i) 4 cm, 3 cm, and 7 cm
(ii) 13 cm, 2 cm, and 10 cm
(iii) 2 cm, 4 cm, and 4 cm
(iv) 7 cm, 12 cm, and 5 cm
16​

Answer 1

Answer:

(iii)

Step-by-step explanation:

For forming a triangle sum of smaller two sides must be greater than the third side.

(i) 4+3 = 7cm and it is equal to the third side i.e.,7cm so a triangle cannot be formed.

(ii) 10+2 = 12cm and is smaller than the third side i.e., 13 cm, therefore a triangle, cannot be formed.

(iii) 2+4 = 6 cm and is greater than the third side i.e., 4cm, therefore a triangle, can be formed.

(iv) 7+5 = 12cm and it is equal to the third side i.e.,12cm so a triangle cannot be formed.