Question

Two sides of a triangle have lengths 9 and 15. What must be true about the length of the third side?

less than 9
less than 24
less than 6
less than 15

Answer 1

HELP?

Answer 2

@jim_thompson5910

Answer 3

let a,b,c be the sides of the triangle

a = 9
b = 15
c = unknown

Answer 4

c can be any number you want as long as c is between 15-9 = 6 and 15+9 = 24

c cannot be equal to 6 or 24

so \(\Large 6 < c < 24\)

Answer 5

something like c = 20 will work but c = 100 is too big and c = 2 is too small

Answer 6

So less than 15?

Answer 7

no I have c < 24 so less than 24

Answer 8

at the same time, c is also larger than 6

Answer 9

c > 6 AND c < 24 means \(\Large 6 < c < 24\)

Answer 10

Oh I understand now. ok Thanks!

Answer 11

no problem