Please prove that similar triangles can exist in Elliptic geometry while non-congruent triangles cannot.

Q: An isosceles triangle has a base 6 m in length and the unequal angle is 73.74°. Calculate, showing…

A: Let us solve the given geometry based problem in the next steps.

Q: Prove that there does not exist a Pythagorean triangle whose length of the hypotenuse and length of…

A: The objective is to prove that there does not exist a right triangle whose hypotenuse and one of its…

Q: find the parameter of a triangle having a max area , that is circumscribing a circle of radius 8 cm

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Q: Show that it is impossible to duplicate the cube by use of straightedge and compass

A: Duplicating a cube means constructing a cube whose volume is twice that of the given cube. We may…

Q: Of all possible right triangles with area 1, determine the one with the smallest hypotenuse.

A: This is an optimization problem, we find the critical points and use second derivative test.

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

A: Given:

Q: Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: In a hyperbolic plane, let ABCD form a quadrilateral with right angles at A, B, and C. The…

Q: Prove that the triangles in the diagram are similar.

A: A triangle is said to be similar if they have the same ratio of corresponding sides and equal pair…

Q: Explain what special right triangles are. Draw an example of each and label the special features.…

A: special right triangles explanation

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: 1. Given; OW || LB, OW LB, BOWL Prove: BOW/WLB B O W

A: The given figure is an the given conditions are OW||LB. The objective is to prove that the triangle…

Q: In the equation of sphere part, where did 62 come from?

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Q: What does one mean by the radical axis of two circles? Does it exist for any two circles?

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Q: This isosceles triangle has two sides of equal length, a, that are longer than the length

A: If isosceles triangle has two sides of equal length means it is isosceles right triangle.

Q: Can you make me a triangle drawing proving that?

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Q: calculate the lengths of all three sides using the distance formula of the non-right angle triangle…

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Q: 7. Escher was an artist who accidentally incorporated non-Euclidian geometry into his work. True or…

A: THE STATEMENT IS ABSOLUTELY TRUE M C ESCHER WAS A DUTCH ARTIST AND HE MANAGED TO REPRESENT MANY…

Q: the bisectors of the base angles of a triangle cannot enclose a right angle in any case to prove…

A: Given: the bisectors of the base angles of a triangle cannot enclose a right angle in any case

Q: Which of the following side lengths of a Triangle DO NOT IN fact make a Right Triangle? * 3, 4,5 9,…

A: In this question given that triangle three sides and ask that which option do not correct for a…

Q: Prove that the sum of the angles of an elliptical triangle is more than two right angles.

A: Solution:-

Q: 7. Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: To show : Lambert quadrilateral is acute in hyperbolic geometry.

Q: Show that the median to the base of an isosceles triangle is perpendicular to base.

A: Properties of the isoceles triangle

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: 5. Of any 7 points chosen within a regular hexagon whose sides have length 1, show that two are…

A: The Pigeonhole Principal : If n+1 objects are placed into n boxes, then some box contains at least 2…

Q: As a lantern maker jade makes congrent triangles without ever using protractor. how does she make…

A: To make triangle congruent we have the following postulates.

Q: a) Provide an ideal drawing for the following theorem: "The midpoint of the hypotenuse of a right…

A: Consider the given statement ,the midpoint of the hypotenuse of a right triangle is equidistant from…

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: How to prove congruent triangles

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

A: