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Find the length of the diagonal BD in the quadrilateral ABCD shown in the coordinate plane

A.5 Units
B.35 units
C.37 units
D.85 units

Find the length of the diagonal BD in the quadrilateral ABCD shown in the coordinate-example-1

1 Answer

6 votes

Answer:


√(85)

Step-by-step explanation:

Given:

B is at (4,3) and D is at (-2,-4).

Solution:


B(4^(x1) ,3^(y1) )
D ( -2^(x2) ,-4^(y2) )
d=√((x_2-x_1)^2+(y_2-y_1)^2)


BD=√((-2-4)^2+(-4-3)^2)
BD =√((-6)^2+(-7)^2)


BD =√(36+49)
BD =√(85)

Therefore the answer is
√(85)

User Michaud
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