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. * Does the Pythagorean Theorem hold for this triangle (using Poincar ́e distances)? If not, how does a2 + b2 compare to c2?

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Q: 2. It is possible for two angles of a triangle in the hyperbolic plane to each have a measure of 2.

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Q: 1. Consider triangle AABC on the coordinate plane. Let P = (-2, 1) and Q = (2,1). Point P is on side…

A: We are authorized to solve only 3 subpart of question, please repost remaining parts

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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.