Let A (((−2)),((−1)) ) ,B ((1),(3) ) , C (((−10)),(( 5)) ) three given points in the brand (O,I,J) such as OI=OJ and (OI)⊥(OJ) D is a point such as AD=AC+2 and CD=2 Prove correctly that BD=13 .Can you find the coordinate of D?


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Question Number 83293 by ~blr237~ last updated on 29/Feb/20

$L e t A (\begin{matrix} - 2 \\ - 1 \end{matrix}), B (\begin{matrix} 1 \\ 3 \end{matrix}), C (\begin{matrix} - 10 \\ 5 \end{matrix}) t h r e e g i v e n p o i n t s i n t h e b r a n d (O, I, J) s u c h a s O I = O J a n d (O I) ⊥ (O J)$ $D i s a p o i n t s u c h a s A D = A C + 2 a n d C D = 2$ $P r o v e c o r r e c t l y t h a t B D = 13 . C a n y o u f i n d t h e c o o r d i n a t e o f D ?$
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