<u>Given</u>:
Given that the graph of a triangle BDE.
The coordinates of the triangle are B(-2,3), D(2,6) and E(3,2)
We need to determine the perimeter of the triangle BDE.
<u>Length of BD:</u>
The length of BD can be determined by substituting the coordinates (-2,3) and (2,6) in the formula,






<u>Length of DE:</u>
Substituting the coordinates of D(2,6) and E(3,2) in the formula, we get;




<u>Length of BE:</u>
Substituting the coordinates of B(-2,3) and E(3,2) in the formula, we get;




<u>Perimeter of ΔBDE:</u>
The perimeter of triangle BDE can be determined by adding the lengths of BD, DE and BE.
Thus, we have;

Hence, the perimeter of ΔBDE is √17 + √26 + 5
Thus, Option A is the correct answer.