we know that
The Triangle Inequality Theorem states that the sum of any [tex] 2 [/tex] sides of a triangle must be greater than the measure of the third side
so
see the attached figure to better understand the problem
[tex] AB=BC=y\ units \\ AC=14\ units [/tex]
1) [tex] AB+AC > BC [/tex]
[tex] x+14 > x [/tex] -----> is ok
2) [tex] AB+BC > AC [/tex]
[tex] y+y > 14\\ 2y > 14\\y > 7\ units [/tex]
therefore
the answer is
The value of y must be greater than [tex] 7 [/tex]
The value of y is greater than 7.
Given
The isosceles triangle has a base that measures 14 units.
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
The isosceles triangle has a base that measures 14 units.
Then,
[tex]\rm y+y>14\\\\2y>14\\\\y>\dfrac{14}{2}\\\\y=7[/tex]
Hence, the value of y is greater than 7.
To know more about the Triangle inequality theorem click the link given below.
https://brainly.com/question/2851663
