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in triangle ABC, A(1,2), B(5,5) and angle ACB=90 degree. if area of triangle is to be 6.5 sq. units, then the possible no. for point C is

in triangle ABC, A(1,2), B(5,5) and angle ACB=90 degree. if area of triangle is to be 6.5 sq. units, then the possible no. for point C is

Grade:11

1 Answers

Meet
137 Points
4 years ago
This is not possible, let the side AC=m and BC=n and AB=5, then mn=13 & (m^2+n^2)=25 and if u solve these two equation u will get a biquadratic equation in which u can assume m^2=t then it has imaginary roots as it`s Dis less than zero.

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