Question

# Verify the points (0,7,−10)(1,6,−6) and (4,9,−6) are the vertices of an isosceles triangle.

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Solution

## ⇒ The given points are A(0,7,−10),B(1,6,−6),C(4,9,−6).∴ Distance between A and B =√(1−0)2+(6−7)2+(−6+10)2=√18⇒ Similarly distance between B and C =√(4−1)2+(9−6)2+(−6+6)2=√18∴ It is an isosceles triangle since AB=BC

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