Question

find the value of k if the traingle formed by A(8,-10),B(7,-3),C(0,k)​

Answer 1

Answer:

As B is a right angle, so, AC must be the hypotenuse and hence by  

Pythagoras Theorem, AC2 = AB2 + BC2  

Or, (0 – 8)2 + (k + 10)2 = (7 – 8)2+ (– 3 + 10)2 + (0 – 7)2 + (k +3)2  

Or, 64 + k2 + 20k + 100 = 1 + 49 + 49 + k2 + 6k + 9

Or, 14k=108–164=–56Or,k=–  

=  -56 /14

=–4. [Ans.]  

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