If the vertices of a triangle ABC are A (1,2,3) B ( h ,-3,0) and C (-4, k ,-1) and the centroid of the triangle is (5,-1, 2 3 ) then triangle ABC is

Step-by-step solution

Given vertices of a tiangle ABC are A (1,2,3), B =( h ,-3,0) and C (-4, ~K ,-1) and controid of ABC is (5,-1, 2 3 ) now 1+ h -4 3 =5 h =18 and 2+ K -3 3 =-1 k =-2 now A =(1,2,3) B =(18,-3,0) and G = (5,-1, 2 3 ) now AB = 17^2+(-5)^2+(-3)^2 = 323 aligned & BC = (-22)^2+1^2+1^2 = 486 & CA = (-5)^2+(-4)^2+(-4)^2 = 57 aligned here BC ^2> AB ^2+ CA ^2 Given triangle ABC is an obtuse triangle