Question

Two sides of scalene triangle ABC measure 3 centimeters and 5 centimeters. How many different whole centimeter lengths are possible for the third side?

Answer 1

Must be less than 3+5 and more than 5-3

Answer 2

2 sides

Answer 3

I know it is not 7.
So it must be 3, 4, 5, or 6.

Answer 4

p.gayathri, what do you mean by 2 sides?

Answer 5

By the triangle inequality, only 3,4,5,6,7 fulfill 3+x>5 and 5+3>x. However, it is scalene, so 3 and 5 do not work, leaving 3 possibilities.So the answer is 3.