Question

Two sides of a triangle have lengths 8 and 17. Which inequalities represent the possible lengths for the third side, x?

9 < x < 17
9 < x < 8
8 < x < 17
9 < x < 25

Answer 1

9 < x < 25

Answer 2

you sure?

Answer 3

i think i agree with psp!

Answer 4

let x be the length of the third side


x must be greater than 17 - 8 = 9 units because if it were 9 units, then you'd have a straight line. If it were smaller than 9 units, then you wouldn't have a triangle.


x also must be smaller than 17+8 = 25 units to ensure you will have a closed/complete triangle

Answer 5

so

x > 9 and x < 25

9 < x and x < 25

9 < x < 25

Answer 6

tht guy is smart

Answer 7

oooh thank you soo much!!!:D

Answer 8

drawing a picture helps a lot if you don't/can't see this

a better way is to use rigid sticks to see this

Answer 9

sry if u needed the big picture

Answer 10

no its ok:) thank you guys!!