Question

You are asked to draw a triangle with side length of 6 inches and 8 inches.What is the longest whole number length that your third side can be?

Answer 1

$l=6inch and 8inch\\c^2=a^2+b^2\\c = \sqrt{(6^2+8^2)}=10inch$
use the pathgorean theorem in order to get the longest side of the given triangle.

Answer 2

a² + b² = c², c being the longest side.

6² + 8² = c²

c² = 36 + 64 

c² = 100

c = √100

c = 10 inches

Answer: The longest length of the 3rd side is 10 inches.