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


Find The Length Of The Diagonal BD In The Quadrilateral ABCD Shown In The Coordinate Plane class=

Sagot :

Answer: Choice C) [tex]\sqrt{85} \text{ units}[/tex]

Work Shown:

B = (4,3)

D = (-2,-4)

Use the distance formula to get:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-(-2))^2 + (3-(-4))^2}\\\\d = \sqrt{(4+2)^2 + (3+4)^2}\\\\d = \sqrt{(6)^2 + (7)^2}\\\\d = \sqrt{36 + 49}\\\\d = \sqrt{85}\\\\d \approx 9.21954446\\\\[/tex]

You can also use the pythagorean theorem as a slight alternative method.