If `A(5,2),B(2,-2)a n dC(-2, t)` are the vertices of right angles triangle with `/_B=90^0,` then find the value of `tdot`

Explanation

To solve the problem, we need to find the value of \( t \) such that the triangle formed by the points \( A(5, 2) \), \( B(2, -2) \), and \( C(-2, t) \) is a right triangle with the right angle at \( B \).

### Step 1: Use the distance formula
The distance formula between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

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