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If the vertices of BCD are B(–3, 3), C(3, 5), and D(–1, 0), what is the perimeter?

A.

10.89 units

B.

11.41 units

C.

16.33 units

D.

17.00 units

Verified Answer :

for this question you need to coordinate geometry to find the distance between the coordinates then find the perimeter

Answer:

16.33 units.

Step-by-step explanation:

Given are the vertices of triangle BCD as B(–3, 3), C(3, 5), and D(–1, 0).

Side CD = 6.403   DE= 3.606   EC = 6.325

using distance formula between two coordinates.

Distance between (x1,y1) and (x2,y2)

= \(\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\)

Perimeter = sum of all sides

= 6.403+3.606+6.325

= 16.332

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