You are asked to draw a triangle with side lengths of 8 inches and 10 inches. What is the longest whole number length that your third side can be? Group of answer choices 18 20 16 21

Step-by-step explanation:

if a, b, c are three sides of a triangle, then a
or in general we can say any side < sum of other two sides.

third side<8+10

or third side <18

Here third side=16

if you are asked smallest side then any side >difference of other two sides.

third side >10-8 or>2

Correct number : c = 16

Step-by-step explanation:

The triangle theorem states that each side of the triangle is smaller than the sum of the other two and larger than their difference. We denote the three sides of a triangle as a, b, and c.

Suppose that a = 8 and b = 10 and as we see b is greater than a, b > a

b - a < c 10 - 8 < c 2 < c < 18

from the offered answers we choose number 16

c = 16

God is with you!