Answer:
5
Step-by-step explanation:
The incenter is the point where all of the angle bisectors meet in the triangle
Using that definition, since point S is the incenter, we know segments RS and SQ are congruent.
1. We can use the Pythagorean Theorem to solve for segment RS first.
a^2+b^2=c^2 or MR^2+RS^2=MS^2
12^2+b^2=13^2
144+b^2=169
b^2=169-144
b^2=25
b=5 or RS=5
Since segment RS is congruent to segment SQ, SQ=5
