Prove that the four triangles of an orthocentric system have the same orthic triangle and the...

Prove that the four triangles of an orthocentric system have the same orthic triangle and the same nine point circle.

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milcah answered 2 years ago

If equilateral triangles are constructed on the sides of any triangle, prove that the distances between...

If equilateral triangles are constructed on the sides of any triangle, prove that the distances between the vertices of the original triangle and the opposite vertices of the equilateral triangles are equal.

Argument A Since all triangles have three sides, and an isosceles triangle is a triangle, it...

Argument A Since all triangles have three sides, and an isosceles triangle is a triangle, it follows that an isosceles triangle has three sides. Argument a is: inductive/deductive; valid/invalid/strong/weak; sound/unsound/cogent/uncogent? Argument B There is a large crack in Philadelphia's Liberty Bell. From this, we can conclude that there was a defect in the bell's craftsmanship. Argument B is: inductive/deductive; valid/invalid/strong/weak; sound/unsound/cogent/uncogent? Argument C Paleontologists now agree that the Tyrannosaurus Rex was actually a peaceful, plant-eating dinosaur. Therefore, it is probably...

4.2.11 Prove Theorem 4.2.9: If corresponding angles of omega triangles are congruent, then the omega triangles...

4.2.11 Prove Theorem 4.2.9: If corresponding angles of omega triangles are congruent, then the omega triangles are congruent.

Among all triangles with a perimeter of 2s=9 units, find the dimension of the triangle with...

Among all triangles with a perimeter of 2s=9 units, find the dimension of the triangle with the maximum area. (Hint: Heron's Formula for the area of a triangle may be useful - A=Sqrt(s(s-a)(s-b)(s-c).

How to calculate the distance between triangles If you have two equilateral triangles and a different...

How to calculate the distance between triangles If you have two equilateral triangles and a different area and one inside the other please simple anwser

Prove that all parallel lines have the same vanishing point.

Prove Euclid's Fifth Postulate using Triangle Sum?

Prove the following using the triangle inequality: Given a convex quadrilateral, prove that the point determined...

Prove the following using the triangle inequality: Given a convex quadrilateral, prove that the point determined by the intersection of the diagonals is the minimum distance point for the quadrilateral - that is, the point from which the sum of the distances of the vertices is minimal.

Prove that all Carnot engines operating between two same reservoirs have same efficiency.

A. Prove that R and the real interval (0, 1) have the same cardinality.

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