Question

In the adjoining figure, PQR is an equivalent triangle in which coordinates of Q and R. (0,4)and (0,-4), respectively. find the coordinates of the vertex P.
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Answer 1

Answer:

(0, -2(root)3)

Step-by-step explanation:

As PQR Iis an equilateral triangle, PR = PQ = RQ = 4 units

In triangle ROP, applying Pythagoras theorem,

RP² = RO² + OP²

4² = 2² + OP²

OP² = 16 - 4 = 12

OP = 2 (root)3

So, coordinate of P is (0, -2(root)3)