Question

aziza has a triangle with two sides measuring 11 in. and 15 in. she claims that the third side can be any length as long as it is greater than 4 in. which statement about azizas claim is correct? azizas claim is not correct. the third side must be between 4 in. and 26 in. azizas claim is not correct. the third side can be any length. azizas claim is not correct. the third side can be any length less than 26 in. azizas claim is not correct. the third side must create a scalene triangle.

Explanation:

Step1: Apply triangle inequality theorem

Let the sides of the triangle be \(a = 11\) in, \(b=15\) in, and \(c\) be the third - side. The triangle inequality theorem states that for any triangle, \(|a - b|\lt c\lt a + b\).
First, calculate \(|a - b|\): \(|11-15|=4\).
Then, calculate \(a + b\): \(11 + 15=26\).
So, \(4\lt c\lt26\).

Answer:

Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.