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

triangle abc has side lengths that are all integers if two of the sides are 7 and 11 how many possible value are there for the third side length?

OpenStudy (mathmate):

By the triangle inequality, the third side, s is such that 11-7<s<11+7 or 4<s<18. Can you figure out the possible lengths?

OpenStudy (anonymous):

thx

OpenStudy (mathmate):

yw!

OpenStudy (anonymous):

but

OpenStudy (anonymous):

i got 16

OpenStudy (anonymous):

can 7 and 11 repeat

OpenStudy (mathmate):

They can repeat, but s cannot equal 4 nor 18, because otherwise the triangle will be degenerate (0-180-0)

OpenStudy (mathmate):

16 is not the right answer.

OpenStudy (anonymous):

i think is 14

OpenStudy (mathmate):

Count from 5 to 17, how many numbers are there.

OpenStudy (anonymous):

13

OpenStudy (mathmate):

Correct!

OpenStudy (anonymous):

thank you for correcting me

OpenStudy (mathmate):

yw!

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!