Question

If A(5,2) and C (-2,t) are the vertices of a right triangle with angle B=90°,then find value of t​

Answer 1

Answer:

Using Pythagoras theorem in right triangle ABC, we obtain

AC

2

=AB

2

+BC

2

⇒(5+2)

2

+(2−t)

2

={(5−2)

2

+(2+2)

2

}+{(2+2)

2

+(−2−t)

2

}

⇒49+(4−4t+t

2

)=(9+16)+(16+4+4t+t

2

)

⇒t

2

−4t+53=t

2

+4t×45

⇒−8t=−8

⇒t=1

Answer 2

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