Rainb00m
Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable 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
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.