Two sides of scalene triangle ABC measure 3 centimeters and 5 centimeters. How many different whole centimeter lengths are possible for the third side?
5 answers
Must be less than 3+5 and more than 5-3
2 sides
I know it is not 7.
So it must be 3, 4, 5, or 6.
So it must be 3, 4, 5, or 6.
p.athri, what do you mean by 2 sides?
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.
1 answer