Answered

Join the growing community of curious minds on IDNLearn.com. Get comprehensive and trustworthy answers to all your questions from our knowledgeable community members.

Two sides of a triangle are 5 centimeters and 6 centimeters. What is the range of possible lengths for the third side? Explain your reasoning using complete sentences.

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  1 < third side < 11

Step-by-step explanation:

If you join the given sides at one end and lay the 5 cm side on top of the 6 cm side, you find the other ends are separated by a distance of 6-5 = 1 cm. In order for the triangle to have non-zero area, the third side must be longer than 1 cm.

If you lay the given sides end-to-end along a line, the far ends are separated by a distance of 6+5 = 11 cm. In order for the triangle to have non-zero area, the third side must be shorter than 11 cm.

The range of possible lengths of the third side is from 1 cm to 11 cm, not including those end values.

__

This is a consequence of the triangle inequality, which requires the sum of any two sides of a triangle exceed the length of the third side.

the range of possible lenths is 1 cm-11 cm

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.