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

The lengths of two sides of a triangle are 10 inches and 4 inches. Which of the following dimensions is the third side of this triangle? 4 inches 5 inches 6 inches 7 inches

OpenStudy (anonymous):

@Vocaloid @welshfella @Study_together

OpenStudy (study_together):

I am pretty sure it is 7 because the average of numbers 10 and 4 is 7

OpenStudy (study_together):

\[Average=10+4\div2\]

OpenStudy (mathstudent55):

This has nothing to do with average.

OpenStudy (study_together):

So how come there is an option 7

OpenStudy (mathstudent55):

The rule is that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

OpenStudy (study_together):

Yeah, sry, I didn't try that

OpenStudy (anonymous):

is it 7

OpenStudy (study_together):

You are right!! :0 Really sorry

OpenStudy (study_together):

@mathstudent55

OpenStudy (anonymous):

isi t 7777777777777777777777777777777777

OpenStudy (study_together):

How did you get that answer : )]

OpenStudy (mathstudent55):

You are given 10 and 4 If you choose 4, you have 10, 4, 4. This cannot be bec 4 + 4 is not greater than 10. If you choose 5, you have 10, 4, 5. This cannot be bec 4 + 5 is not greater than 10. If you choose 6, you have 10, 4, 6. This cannot be bec 4 + 6 is not greater than 10. If you choose 7, you have 10, 4, 7. This is the answer bec all the inequalities below are true: \(4 + 7 \gt 10\) \(10 + 7 \gt 4\) \(4 + 10 \gt 7\)

OpenStudy (mathstudent55):

Yes, the answer is 7, but because of the reason I explained above.

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!