# SOLUTION: 1.A Triangle Has Vertices at A(3,2) B(4,0) C(8,2). a) Show the triangle is right angled b) Find the Co-ordinates of the Point D such that ABCD is a rectangle

Algebra ->  Algebra  -> Length-and-distance -> SOLUTION: 1.A Triangle Has Vertices at A(3,2) B(4,0) C(8,2). a) Show the triangle is right angled b) Find the Co-ordinates of the Point D such that ABCD is a rectangle      Log On

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 Geometry: Length, distance, coordinates, metric length Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Length-and-distance Question 363854: 1.A Triangle Has Vertices at A(3,2) B(4,0) C(8,2). a) Show the triangle is right angled b) Find the Co-ordinates of the Point D such that ABCD is a rectangleAnswer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website!``` Hi, a. Show the triangle is right angled mAB = -2/1 mBC = 2/4 = 1/2 AB is perpendicular to BC as their slopes are negative reciprocals. b. Co-ordinates of the Point D such that ABCD is a rectangle BC and AD would be parallel and have same slope = 1/2 y = 1/2x + b Using point (3,2) b = -1/2 y = .5x + .5 (red line) mCD = -2 CD meets AD at (7,4) ```