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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 Plane A5 Units B35 Units C37 Units D85 Units class=

Sagot :

RevyBreeze

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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