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 Plane A.5 UnitsB.35

Answers

Answer 1

Answer:

[tex]\sqrt{85}[/tex]  

Explanation:

Given:

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

Solution:

[tex]B(4^{x1} ,3^{y1} )[/tex]                    [tex]D ( -2^{x2} ,-4^{y2} )[/tex]               [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]BD=\sqrt{(-2-4)^2+(-4-3)^2}[/tex]⇒ [tex]BD =\sqrt{(-6)^2+(-7)^2}[/tex]

[tex]BD =\sqrt{36+49}[/tex]     ⇒[tex]BD =\sqrt{85}[/tex]

Therefore the answer is [tex]\sqrt{85}[/tex]


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