Q. 184.3( 10 Votes )

An equilateral tr

Answer :

Given: The points (3, 4) and ( - 2, 3).

To find: The coordinate of the third vertex.

Formula Used:

The distance between the points (x1,y1) and (x2,y2) is:



Let the Vertices of a triangle ABC are: A (3, 4) and B ( - 2, 3), and C(x, y)

Length of side AB

Length of side AB units

Length of side BC units

Length of side AC units

As triangle is equilateral, (AB)2 = (BC)2

…….. (1)

(AB)2 = (AC)2

….. (2)

On subtracting eqn (2) from (1), we get

…… (3)

(AC)2= (BC)2

……. (4)

Solving equations (3) and (4), we get

Therefore, coordinates of C are

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