Question

12. Which of the following lengths of three line segments can be the lengths of the sides of a triangle?
(i) 5 cm, 4 cm, 9 cm
(ii) 8 cm, 6 cm, 15 cm
(iii) 5 cm, 5 cm, 5 cm
(iv) 3.5 cm, 4.5 cm, 6.5 cm
(u) 6 cm, 8 cm, 10 cm
(vi) 3 cm, 7 cm, 3 cm ​

Answer 1

Answer:

scalene

scalene

equilateral

scalene

scalene

isosceles

Answer 2

Answer:

(iii) 5 cm, 5 cm, 5 cm Can be the lengths of the sides of a triangle.

(iv) 3.5 cm, 4.5 cm, 6.5 cm Can be the lengths of the sides of a triangle.

(v) 6 cm, 8 cm, 10 cm Can be the lengths of the sides of a triangle.

Step-by-step explanation:

In order to form a triangle, the sum of the smaller two lengths has to be greater than the largest length.

(i) 5 + 4 Not greater than 9

(ii) 8 + 6 Not greater than 15

(iii) 5 + 5 > 5  Can be the lengths of the sides of a triangle.

(iv) 3.5 + 4.5 > 6.5 Can be the lengths of the sides of a triangle.

(v) 6 + 8 > 10  Can be the lengths of the sides of a triangle.

(vi) 3 + 3 Not greater than 7