Two side lengths of a triangle are 11 and 17. What is the longest possible integer length of the third side of the triangle?
Dont know where to start
use the good ol' pythagorean theorem
sqrt410 (can't be simplified any further)
Got to be careful here.....we might not necessarily have a right triangle
In general.....The sum of any two sides of a triangle is greater than the remaining side (this is known as the trinagle inequality)
11+ 17 = 28
So the remaining side must be < 28 = 27