Menu Close

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-




Question Number 83293 by ~blr237~ last updated on 29/Feb/20
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?
$${Let}\:\:{A}\begin{pmatrix}{−\mathrm{2}}\\{−\mathrm{1}}\end{pmatrix}\:\:,{B}\begin{pmatrix}{\mathrm{1}}\\{\mathrm{3}}\end{pmatrix}\:,\:{C}\begin{pmatrix}{−\mathrm{10}}\\{\:\mathrm{5}}\end{pmatrix}\:{three}\:{given}\:{points}\:{in}\:{the}\:{brand}\:\left({O},{I},{J}\right)\:{such}\:{as}\:{OI}={OJ}\:{and}\:\left({OI}\right)\bot\left({OJ}\right) \\ $$$$\:{D}\:{is}\:{a}\:{point}\:{such}\:{as}\:{AD}={AC}+\mathrm{2}\:\:{and}\:\:{CD}=\mathrm{2}\: \\ $$$${Prove}\:{correctly}\:{that}\:\:{BD}=\mathrm{13}\:.{Can}\:{you}\:{find}\:{the}\:{coordinate}\:{of}\:{D}? \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *