Let a, b, c be the lengths of sides of a triangle; a=4.8, b=0.23, and c is a whole number. Find c.

1 answer

By the triangle inequality, we know that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we have:

a + b > c
4.8 + 0.23 > c
5.03 > c

Since c is a whole number, the largest possible value for c that satisfies this inequality is c = 5. Therefore, the length of the third side must be 5.