Respuesta :

Answer:

Option B

Step-by-step explanation:

In a triangle , sum of measure of any 2 sides is always greater than the measure of the third side. So

[tex]5 + 12 > k[/tex]

[tex] = > 17 > k[/tex]

Hence the measure of k is less than 17.

In the triangle , measure of the longest side is 12 cm. As we know that sum of measure of any 2 sides of triangle is greater than the measure of third side , the value of k should be more than 7cm because if the value of k would be 7 , then 5 + 7 = 12 and the sum will get equal to the measure of longest side , hence such triangle wont exist.

Atlast , the range of k is :-

[tex]7 < k < 17[/tex]