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?

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

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Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

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Q: Given the triangle ABC, let u= CA/2+ CB/3. (a) Explain why there is and is unique the point X on…

A: Explanation for part a) is correct and sufficient.  For unique point, two vectors intersect at a…

Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

Q: 3. Let a = -i+ 3j + 2k and b = 4i + 5j+ 2k. Don’t evaluate the square roots for the lengths except…

A: Given that                    a→=-i^+3j^+2k^                     b→=4i^+5j^+2k^  We know that the…

Q: Is a triange with the verticies A(7,1) B(0,4) and C(-4,-8) a right triangle yes or no?

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Q: Two points 0(0, 0) and A(3, √√3) with another point P form equilateral triangle. Find the…

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Q: Let a = -i+ 3j + 2k and b = 4i + 5j + 2k. Don't evaluate the square roots for the lengths except…

A: The given vectors are a=-i+3j+2k and b=4i+5j+2k. Note that, the vector product x·y of two vectors…

Q: The triangle formed by A(z₁), B(22) and C(23) has its circumcentre at origin. If the perpendicular…

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Q: Exercise 1.12. Determine the cosine of the angles of the triangle whose vertices are A = (2,-1, 1),…

A: We can find the length of all the three sides then with the help of cosine rule of triangle we will…

Q: The triangle formed by A(z₁), B(z2) and C(z3) has its circumcentre at origin. If the perpendicular…

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Q: Find the area of the triangle formed by the points A = (3, –1, 2), B = (1, 1, 0), and C = (1,2,–1).

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Q: Hw.2 Show that the triangle ABE IS right atA -where A(-l B(2,1,1),ccl,=2,2).

A: Using geometry

Q: Determine whether the triangle with vertices P(1, 2, 2), Q(2,0, -1), R(5, 0, 0) is acute (has all…

A: We have to determine whether triangle PQR is acute or not.Concept required:

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.