Question

Which of the following possibilities will form a triangle?

Side = 16 cm, side = 8 cm, side = 7 cm
Side = 16 cm, side = 9 cm, side = 7 cm
Side = 17 cm, side = 12 cm, side = 7 cm
Side = 17 cm, side = 11 cm, side = 5 cm

Answer 1

@Directrix

Answer 2

C

Answer 3

@johnnyy999

Why C and not some other option? Please explain how you chose C as the answer.

Answer 4

@Directrix :)

Answer 5

@Directrix

Answer 6

According to the triangle inequality theorem, one side of a triangle must be less than the sum of the other two.

Answer 7

Testing option A:

16 cm, side = 8 cm, side = 7 cm

Is 16 < 8 + 7 No --> One no means that the 3 sides are not lengths of a triangle so option A is out because 16 is not less than 15.

Is 8 < 16 + 7 Yes

Is 7 < 16 + 8 Yes

Answer 8

Side = 16 cm, side = 9 cm, side = 7 cm

Is 16 < 9 + 7 ? @geny55

Answer 9

16 < 16 No, so option B is out

Answer 10

Option C:

Side = 17 cm, side = 12 cm, side = 7 cm

17 < 12 + 7 ?
12 < 17 + 7 ?
7 < 17 + 12 ?

@geny55