Question

A triangle has two sides with lengths 31 centimeters and 39 centimeters. Which best describes the length of the third side? A. less than 8 cm B. greater than 70 cm C. less than 8 cm or greater than 70 cm D. greater than 8 cm and less than 70 cm

Answer 1

D. greater than 8 cm and less than 70 cm

Explanation:

Given:

Length of one side = 39 cm

Length of other side = 31 cm

We need to find the length of third side.

Solution:

to find the length of third side we will use triangle Inequality property which states that;

"The length of the third side should be less than sum of the other two side."

Also;

"The length of the third side should be greater than difference of the other two sides."

Now Sum of 2 sides of triangle = 39 + 31 =70 cm

Also Difference of 2 side of triangle = 39 -31 = 8 cm

Hence The length of the third side should be greater than 8 cm and less than 70 cm.