Question

Points A (5, 3), B (-2, 3) and D(5, -4) are three vertices
of a square ABCD Find the Co-ordinate of the vertex C.​

Answer 1

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Answer 2

Answer:

Let ∆ABC be isosceles triangle with AB = AC

Let the equation of the sides AB and AC of the isosceles triangle ABC are 7x – y + 3 = 0 and x + y – 3 = 0

Solving these two equations, we obtain the coordinate of vertex A as (0, 3). Now, BC passes through the point (1, –10)

Slope of the line 7x – y + 3 = 0 is 7

Slope of the line x + y – 3 = 0 is –1

Let slope of BC be m

Since ∆ABC is an isosceles