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What is the perimeter of ABDE

Given:

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.

Length of BD:

The length of BD can be determined by substituting the coordinates (-2,3) and (2,6) in the formula,

Length of DE:

Substituting the coordinates of D(2,6) and E(3,2) in the formula, we get;

Length of BE:

Substituting the coordinates of B(-2,3) and E(3,2) in the formula, we get;

Perimeter of ΔBDE:

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.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: