Question

In triangle,if AB = 5cm and BC = 8cm then the number of possible integral values of the third side AC is

Answer 1

sum of two sides of a triangle is greater than the third side

so the conditions are :

8 + 5 > AC

AC + 5 > 8

AC + 8 > 5

AC <13

AC > 3

3 < AC < 13

so the possible integral values of AC are 4,5,6,7,8,9,10,11,12.

Answer 2

sum of two sides of a triangle is greater than the third side

so the conditions are :

8 + 5 > AC

AC + 5 > 8

AC + 8 > 5

AC <13

AC > 3

3 < AC < 13

so the possible integral values of AC are 4,5,6,7,8,9,10,11,12.