45.4k views
9 votes
A triangle has two sides of length 4 and 15. What is the smallest possible whole-number length for the third side

User Jduprey
by
4.4k points

1 Answer

10 votes

Answer:

The smallest whole number length is 12

Explanation:

The sum of any two sides of any triangle must be greater than the length of the third side.

In this case, the two smallest sides of the triangle must be greater than the third side to satisfy the statement above.

Let "x" = the length of the third side.

Our two smaller sides are "x" and "4", and their sum must be greater than 15.

x + 4 > 15

x > 15 - 4

x > 11

User Brandon M
by
5.2k points