Answer :

Let points be


P(0, 7, –10), Q(1, 6, – 6) & R(4, 9, – 6)


If any 2 sides are equal, it will be an isosceles triangle


Calculating PQ


P ≡ (0, 7, – 10) and Q ≡ (1, 6, – 6)


Distance PQ


Here,


x1 = 0, y1 = 7, z1 = – 10


x2 = 1, y2 = 6, z2 = – 6


Distance PQ





Calculating QR


Q ≡ (1, 6, – 6) and R ≡ (4, 9, – 6)


Distance QR


Here,


x1 = 1, y1 = 6, z1 = – 6


x2 = 4, y2 = 9, z2 = – 6


Distance QR





Since PQ = QR


2 sides are equal


Hence PQR is an isosceles triangle.


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