# CBSE Class 10 Answered

**the base BC of an equilateral triangle ABC lies on yaxis,the coordinates of point C are(0,-3),the origin is midpoint of the base find the coordinates A andB ,Also find thecoordinates of another point D such that BACD is a rhombus**

Asked by mdraishbst | 19 Oct, 2018, 12:24: AM

Expert Answer

O is the mid point of BC

so let B(x,y)

so

0=(x+0)/2 and 0 = (y-3)/2.......midpoint formula

x= 0 and y = 3

B=(0,3)

now we can find co ordinates of A

using distance formula

AB = AC.......eqn.1

AB = BC......eqn.2

now D and D' are the two possible ways to construct the required rhombus.

suppose A(x,y)

now after finding A

use distance formula to find AD distance since AD = BC and AD = AB

also D' is possible too

use same method to find D'

Answered by Arun | 19 Oct, 2018, 10:19: AM

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