(find the orthocentre of the triangle formed by the lines 2x-y=2,3x-2y=1,x-y=0)
the answer given in text book is (11,-4)
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Answers
Answer:
The orthocenter of a triangle is the point of intersection of any two of three altitudes of a triangle (the third altitude must intersect at the same spot).
Step-by-step explanation:
firstly,the vertices of the triangle is given in equation form and not the points directly. hence solve the 3 equations in (A,B), (B,C), (C,A) combination to get the vertices points.
in your case A(3,4) B(1,1) C(2,2) since I have taken 1st equation as A and 2nd as B and 3rd equation as C respectively.
next you will have to find equations of the altitude AD,EC by using y=Mx+b where M is the slope. M = y2-y1/x2-x1
the process is lengthy and I don't be able to type entire answer here. You can search the method to solve for orthocentre in browser there are a lot of websites with proper explanation.
