Rainb00m
Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get quick and reliable solutions to your questions from a community of experienced experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

If LM=18 cm and MN=5 cm, then what are the possible lengths for LN so that LM, MN, and NL can form a triangle?

Sagot :

konrad509
[tex]\overline{LM}+\overline{MN}>\overline{NL}\\ \overline{LM}+\overline{NL}>\overline{MN}\\ \overline{NL}+\overline{MN}>\overline{LM}\\\\ 18+5>\overline{NL}\\ \overline{NL}<23\\\\ 18+\overline{NL}>5\\ \overline{NL}>-13\\\\ \overline{NL}+5>18\\ \overline{NL}>13\\\\ \overline{NL}<23\wedge \overline{NL}>-13 \wedge \overline{NL}>13\\ \boxed{\overline{NL}\in(13,23)} [/tex]
Ananda26
The rule for a triangles sides is that the sum of two sides must be greater than the other side. The difference of two sides must be less than the other side.
Our two lengths are 18 and 5
18+5=23
18-5=13
LN must be between 13 and 23
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.