let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC is strictly less than 180 degrees

Q: Point I is on line segment HJ. Given IJ = 3x +3, HI = 3x-1, and HJ 3x +8, determine the numerical…

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Q: Show that the triangle with vertices P(6, ; 7), Q(11, ; 3) and R(2, ; 2) is a right -angled triangle…

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Q: Which similarity postulate or theorem, if any can be used to show the two triangles similar?

A: Here for triangle SQR,    Length of the side QS = 8    Lengthof the side QR = 17    Length of the…

Q: The distance d from the point (2, - 3) to the point (5, 1) is________ .

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Q: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

Q: Show that the triangle with vertices (5, 4, −1), (3, 6, −1), and (3, 4, 1) is equilateral.

A: To show that the triangle with vertices 5, 4, -1, 3, 6, -1 and 3, 4, 1 is equilateral. Solution: Let…

Q: Provide an example of a new theorem related to triangles and describe the steps as to how this…

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Q: 9. Prove that an exterior angle of a triangle is always greater than the sum of the two opposite…

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Q: If x and y are positive numbers with x > y, show that a triangle with sides of lengths 2xy, x 2 -…

A: To Determine: show that a triangle with sides of lengths 2xy ,x2-y2 ,x2+y2 is always a right…

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: 4. Show that the two internal bisectors and one external bisector of the angles of a triangle meet…

A: Given:

Q: Find the of the triangle area with verfices Pl2,2,0), Q(13,-1) and R(-4,2,1)

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Q: In Hyperbolic Geometry, the sum of internal angles of a triangle is always greater than 180°. True…

A: False

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

Q: The distance d from the point (2, - 3) to the point (5, 1) is

A: Given: From (2,-3) to  (5,1) To find the distance

Q: entify if the two triangles are similar and by what postulate/theorem. 3. м 6 10 L5

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Q: What is the distance between the origin and the point (4, 3, 3)

A: To find the distance between the origin and the point (4, 3, 3)

Q: In hyperbolic geometry, prove that the Omega triangles ABΩ and A′B′Ω′ are congruent if the pair of…

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Q: A specific point (0,b) is known as the __________

A: A specific point (0,b) is known as the

Q: a right triangle has a hypotenuse of length 2.5 and one leg of length 2. the length of the other…

A: Given, a right triangle has a hypotenuse of length 2.5 and one leg of length 2. To find, the length…

Q: Suppose that point C lies in plane X and point D lies in plane X. What can you conclude regarding…

A: What can you conclude regarding CD↔.

Q: If point P has a nonzero x-coordinate and a nonzero y-coordinate and x is greater than zero and y is…

A: It is given that both the coordinates are non-zero. The x-coordinate is greater than zero and y…

Q: How many right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x - 5…

A: Given as the right triangles have a hypotenuse that measures 2x + 3 meters and legs that measure 2x…

Q: Specify in coordinates the projection made from point (1, 1) on the abscissa axis to the ordinate…

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Q: If an observer positioned at the vertex of an angle views an object in the direction ofthe…

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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.

A: Solution

Q: Your friend claims that the SAS Congruence Theorem (Theorem 5.5) will apply to a triangle and its…

A: It is known that the triangle that is obtained after translated, reflected, rotated, and dilated…

Q: We are given 17 points inside a regular triangle of side length one. Prove that there are two points…

A: We use Pigeonhole Principle to solve this which states that if n items are put into m containers…

Q: An isosceles right triangle has one Vangle and equal sides.

A: our objective is to find the statement.

Q: Find the angle formed by the intersection of a face diagonal t the diagonal of a cube drawn from the…

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Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

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Q: Prove that the sum of the angles of a hyperbolic triangle is less than 180 degrees and explain.

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Q: How does the AA Similarity Postulate work and how can I prove if two triangles are similar with it?

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Given: Consider a right triangle with a side of length x opposite angle A, a side of length y…

Q: Prove the Pythagorean Theorem with Similar Triangles using a two-column proof.

A: To Prove the Pythagorean Theorem with Similar Triangles using a two-column proof

Q: 34. Prove that an altitude of an acute scalene triangle cannot bisect the angle from whose vertex it…

A: We will prove that an altitude cannot bisect the angle from whose vertex it is drawn as following.…

Q: Illustrate that the sum of the angles of a hyperbolic triangle is less than 180 degrees.

A: We have to illustrate about why sum of the angels of a hyperbolic triangle is less than 180 degree.

Q: 2) Point B is the midpoint of AC. If AB=3x, BC=2x+2, what is the length of AC?

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Q: Find the distance in between the point P(0, 2, – 4) and the point Q(3, – 2, – 3). -

A: Given:P0,2,-4 and Q3,-2,-3

Q: 12. What type of triangle would be formed if two of the legs are formed by the radius of a circle…

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Q: Show that the points A(-4,9,6) ,B(-1,6,6) and C (0,7,10) from the right angled isoseles triangle

A: Use the equation D=(x2-x1)2+(y2-y1)2+(z2-z1)2 to calculate the magnitude of side AB.…

Q: Find sides b & c of a special right triangle if x = 30° & a = ". 3y 2 Hippopotenuse Adjacent…

A: Given problem:-

Q: 9. Under what conditions could a geometry satisfy more than one of the parallel postulates? Explain.…

A: There are some points with explanation and example to understand you better.

Q: A right triangle has legs of length X, 2X +2, and a hypotenuse of length 2X +3. What are the Lengths…

A: Topic: triangle

Q: Show that one slice of an 18-inch pizza is larger than two slices of a 12-inch pizza if cut in eight…

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Q: Prove that if two triangles are similar their heights are in the same proportion as their sides.

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Q: What are the exact values for the 6 trigonomic functions of a 300o angle?

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