Using GEOMETRY ONLY, for an equilateral triangular region, for which points is the sum of the distances to the sides of the triangle minimal? Please show me and do not point to a web site.

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For any point in this equilateral triangular region, the sum of the distances to the sides of the triangle is the same.
Suppose the triangle has 3 vertices ...

Solution Summary

It is proven concisely that the sum of distances from a point inside an equilateral triangle is constant.

Write a program that reads three real numbers for the three sides of a triangle., assigns the appropriate boolean value to the following boolean variables, and displays the associated values.
Triangle: true if the real numbers can represent lengths of the sides of a triangle (the sum of any two of the numbrs must be greater

Write a program that reads three real numbers, assigns the appropriate boolean value to the following boolean variables, and displays the associated values.
Triangel: true if the real numbers can represent lengths of the sides of a triangle (the sum of any two of the numbrs must be greater than the third); false otherwise.

Three equal charges of 0.5 uC lie at the corners of an equilateraltriangle ABC of side a. Find the force on the charge at point A if a = 20 cm .
Please see the attachment for the diagram.

Please provide detailed answers.
* Can a right triangle be scalene, isosceles, or equilateral? Why or why not? What are the advantages and disadvantages of classifying triangles by sides or angles?
* Describe the relationship between a triangle's centroid and orthocenter. Do they need to be inside the triangle?
* How wo

An equilateraltriangle has sides of 0.12 meters. Charges of -8.6, +8.0 and +1.6 micro Coulombs are located at the corners of the triangle. Find the magnitude of the net electrostatic force exerted on the 1.6 micro Coulomb charge.

Mary is 3 supervisor in a large office. The secretaries are constantly talking to each other. Mary 's concerned that this constant jabbering back and forth is causing low efficiency in T.e office. She decides to separate the secretaries by the greatest possible distance within the confines of the office.
Your task is to decide

1 a. Three cities are at the vertices of and equilateraltriangle of unit length. Flying Executive Airlines needs to supply connecting services between these three cities. What is the minimum length of the two routes needed to supply the connecting service?
1 b. Now suppose Flying Executive Airlines adds a hub at the "cen

(Triangle Creator Application) Create an application that allows the user to enter the lengths for the three sides of a triangle as Integers. The application should then determine whether the triangle is a right triangle (two sides of the triangle form a 90-degree angle), an equilateraltriangle (all sides of equal length) or ne