Let A = (5−√24,0), B = (0,5−√24), and C = (0,0) be points in the Poincar ́e Disk. The hyperbolic triangle △ABC is a right triangle with right angle ∠ACB. * Find the Poincar ́e distances: a = d(B, C), b = d(A, C) and c = d(A, B). [Hint: The orthogonal circle through the points A and B has center (5,5) and radius 7 and meets the unit circle at the points P = (4/5,−3/5) and Q = (−3/5, 4/5). You can use a

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Q: 19. In a coordinate plane, triangle ABC has vertices of A(1,1), B(1,5), and C(5, 1). a Triangle ABC…

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Q: In kite ABCD below, point E is the midpoint of BD. What are the coordinates of point D? E(10,4) В…

A: Mid point of the line joining two points (x1,y1)  and (x2,y2) is given by M=((x1+x2)/2 , (y1+y2)/2)

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Q: 15. Complete the squares on x- and y-terms of the circle: 4x + 24x + 4y + 36y =0. SLO 12

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.