Point J is on line segment start overline, I, J, end overline IS . Given I, K, equals, 15IK=15 and I, J, equals, 13, commaIJ=13, determine the length start overline, J, K, end overline, . JK .
We can solve this problem using the Triangle Inequality Theorem, which states that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
In this case, we can apply the Triangle Inequality Theorem to triangle IJK. Let's denote the length of JK as x.
According to the theorem, we have:
IJ + JK > IK
13 + x > 15
Simplifying the inequality, we get:
x > 15 - 13
x > 2
Therefore, the length of JK must be greater than 2.