Verify the following:(i) `(0, 7, 10)`, `(1, 6, 6)`and `(4, 9, 6)`are the vertices of an isosceles triangle.

Explanation

To verify whether the points \( A(0, 7, 10) \), \( B(1, 6, 6) \), and \( C(4, 9, 6) \) are the vertices of an isosceles triangle, we will calculate the lengths of the sides of the triangle using the distance formula in three-dimensional geometry.

### Step 1: Use the Distance Formula
The distance formula in three-dimensional space is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]

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