Answer: 23.3356180475
Step-by-step explanation: using the distance formula d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}:
Side 1:
= √(-9 - -3)^2 + (6 - 10)^2
= √(-6)^2 + (-4)^2
= √52
= 2√13
= 7.211102550928
Side 2:
= √(-2 - -9)^2 + (2 - 6)^2
= √(7)^2 + (-4)^2
= √65
= 8.0622577482985
Side 3:
= √(-3 - -2)^2 + (10 - 2)^2
= √(-1)^2 + (8)^2
= √65
= 8.0622577482985
Then you add all the answers together :
7.211102550928+8.0622577482985+8.0622577482985
=23.3356180475