(42.) AABC is a right angled triangle, in which A(0, 2) and B(2, 0) are given. Then, find the coordinates of C. ​

Question

(42.) AABC is a right angled triangle, in which
A(0, 2) and B(2, 0) are given. Then, find the
coordinates of C.

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Audrey 2 weeks 2021-09-09T17:27:56+00:00 1 Answer 0 views 0

Answers ( )

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    2021-09-09T17:29:08+00:00

    Answer:C(0,0) or C(2,2)

    Step-by-step explanation:

    Let C (x, y) , of we assume C is right angle .


    then, BC will be perpendicular upon AC.


    so, slope of BC × slope of AC = -1


    or, (y – 0)/(x – 2) × (y – 2)/(x – 0) = -1


    or, y(y – 2)/x(x – 2) = -1


    or, y² – 2y + x² – 2x = 0


    it is only when x = 0 or 2 also y = 0 or 2


    so, C (0,0) and (2,2)

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