Question

The lengths 15 cm, 7 cm, and 6 cm could be the sides of a triangle. true or false?

Answer 1

False. Notice how 7+6 = 13 which is 2 units shy of 15


So a triangle is impossible to construct with these lengths.

Answer 2

medal 4 u

Answer 3

surely that is possible ?

Answer 4

No it is not possible since the two side lengths of 7 and 6 don't even add to the length of 15. They need to add to some number greater than 15

Answer 5

or the length of 15 needs to be smaller (say 12)

Answer 6

the triangle ineqaulity theorem states that if you add 2 sides of a traingle together, they must be greater then the lenght of the third side...this ties in to what jim_thompsom says

Answer 7

ok, not heard that before

Answer 8

Rule:


Say you have a triangle with sides a, b, and c


This would mean that


a+b > c

and

b+c > a

and

a+c > b


would all have to be true in order for the triangle to be possible

Answer 9

cheers

Answer 10

makes sense now i think about it