Question

A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are (9, 6), (6, 2), (1, 2), and (4, 6). How long is each side of the rhombus?.

Answer 1

18.46  is each side of the rhombus .

What is  coordinate plane?

• Two number lines combine to produce the coordinate plane, a two-dimensional surface.
• The x-axis is the name given to one horizontal number line. The y-axis is the name given to the other number line, which is vertical.
• The origin is where the two axes come together. The coordinate plane allows us to graph points, lines, and more.

We apply the distance formula appropriately to get the distance between the side of the Rhombus

D = √(x2-x1)² + (y2-y1)²           ( 9,6 ) , ( 6,2 )

let us use the points (9,6) and (6,2)

D = √(6 + 9)² + (2- 6)²

D = √(15)² + ( -4)²

D = √225 + 16

D = √341

D =  18.46

Learn more about rhombus

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