Question

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

Answer 1

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

Answer 2

16.33 units.

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)

=
`√((x_2-x_1)^2 +(y_2-y_1)^2)`

Perimeter = sum of all sides

= 6.403+3.606+6.325

= 16.332