If A(5, 2), B(2, -2) and C(-2, t) are the vertices of a right triangle with `angleB = 90^(@)` then find the value of t.

If A(5, 2), B(2, -2) and C(-2, t) are the vertices of a right triangle

1.	If A(5, 2), B(2, -2) and C(-2, t) are the vertices of a right triangle with `angleB = 90^(@)` then find the value of t.
Answer» Correct Answer - t = 1 `AB^(2)+BC^(2) = AC^(2) rArr 25 + {16 + (t + 2)^(2)} = 49 + (t +2)^(2)` `rArr (t+2)^(2) -(t-2)^(2) = 8 rArr 4 xx t xx 2 = 8 rArr t = 1.`

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