Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

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 :

sqdancefan

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

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.