Ask your own question, for FREE!
Mathematics 19 Online
OpenStudy (anonymous):

which of the following sets of numbers could represent the lengths of the sides of a triangle? a. 2,2,5 b. 3,3,5 c. 4,4,5 d. 5,5,15

OpenStudy (aravindg):

use the triangle inequality

OpenStudy (anonymous):

i don't know how to do that

OpenStudy (aravindg):

In mathematics, the triangle inequality states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side (and, if the setting is a Euclidean space, then the inequality is strict if the triangle is non-degenerate).[1][2] -wikipedia

OpenStudy (aravindg):

so add two sides in each option and see whether the result surpasses the length of the other side

OpenStudy (anonymous):

b surpasses the lenght of the other side

OpenStudy (aravindg):

how about c ?

OpenStudy (anonymous):

it's equal ??

OpenStudy (aravindg):

how ?

OpenStudy (anonymous):

4+4=8

OpenStudy (anonymous):

8=8

OpenStudy (aravindg):

8=8 ??the other side is 5 ?

OpenStudy (anonymous):

no

OpenStudy (aravindg):

why ?

OpenStudy (aravindg):

4,4,5 i dont see any side of length 8 ?

OpenStudy (anonymous):

there isn't any answer like that

OpenStudy (aravindg):

i am asking if c is possible using triangle inequality ..dont look at options

OpenStudy (anonymous):

i think yes i don't really know

OpenStudy (anonymous):

but i looked in the internet and inequality triangles are|dw:1365132872873:dw|

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!