Can the sides of a triangle have lengths 2.3, 5.3, and 6.9?
1 answer
Yes, the sides 2.3, 5.3, and 6.9 can be lengths of a triangle, because the sum of any two sides of a triangle must be greater than the third side. We can verify this by adding 2.3 and 5.3, which is 7.6, and is greater than 6.9. Similarly, if we add 2.3 and 6.9, we get 9.2 which is also greater than 5.3, and if we add 5.3 and 6.9, we get 12.2 which is greater than 2.3. Therefore, the given lengths satisfy the triangle inequality, and thus can form a triangle.