Question

One side of a rhombus is 8cm and the angle made by the
side with x axis is 60°. Taking the unit as 1 cm , find the coordinates of all its vertices.

Answer 1

Given : one side of a rhombus is 8cm  the angle made by the side with x axis 60°  

To Find : coordinates of all its vertices

Solution:

Cos 60  =  Base / 8

=> 1/2 = Base / 8

=> Base = 4

Coordinate of right most point = ( 4 , 0)

Coordinate on y axis  = ( 0 , y)

8 = √(0 - 4)²  + (y - 0)²

=> 64 = 16 +  y²

=>  y² = 48

=> y = ± 4√3

Coordinated of Vertex on y axis

( 0 , 4√3 ) , ( 0 , -  4√3)

Coordinate of remaining vertex = ( - 4 , 0)

( 4 , 0)  , ( 0 , 4√3 )  , ( - 4 , 0)  and ( 0 , -  4√3) are the vertex of RHOMBUS

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