Question

Which set of three segments can form a triangle?

15, 22, 6

11, 19, 8

17, 9, 10

16, 20, 4

Answer 1

in a traingle, the sum of two sides always greater than the third side
look at the first choice. 15,22,6
15+22 > 6 (true)
22+6 > 15 (true)
15+6 > 22 (false)
so, it is can not be a triangle

Answer 2

*triangle

Answer 3

so you add the first two sides then what do you do after that

Answer 4

just correction all inequalities, if one of them not satisfies then cancel be a triangle

Answer 5

what do u think for B ?

Answer 6

i dont no im confused

Answer 7

11, 19, 8
11+19 > 8 (obviously, it is true)
19 + 8 > 11 (true too)
nah, 11+8 > 19, true or false ?

Answer 8

11 + 8 > 19
19 > 19 (true or false ?)

Answer 9

this site might useful
http://www.regentsprep.org/Regents/math/geometry/GP7/LTriIneq.htm

Answer 10

false....

Answer 11

yes, so for B you dont have a triangle

Answer 12

oh i get it now

Answer 13

what is your choice then ..

Answer 14

C or D ?

Answer 15

D?

Answer 16

16 + 4 > 20
it is false, doesnt it ?

Answer 17

yeah... so c?

Answer 18

17 + 9 > 10 (true)
17 + 10 > 9 (true)
9 + 10 > 17 (true)

all inequality be true, so it can be a triangle

Answer 19

Okay thank you so much!

Answer 20

you're welcme