Candy - MO
Gretel deploys different numbers to the vertex of a regular octagon, from one to eight candy. Peter can then choose which three piles of candy to give Gretel others retain. The only requirement is that the three piles lie at the vertices of an isosceles triangle. Gretel wants to distribute sweets so that they get as much as possible, whether Peter's trio vertices are chosen anyhow. How many such Gretel guaranteed profits?
b) Do the same task even for regular 9-gon to deploy Gretel 1-9 sweets. (Equilateral triangles are also isosceles triangles.)
b) Do the same task even for regular 9-gon to deploy Gretel 1-9 sweets. (Equilateral triangles are also isosceles triangles.)
Final Answer:

Tips for related online calculators
Calculation of an isosceles triangle.
Calculation of an equilateral triangle.
See also our trigonometric triangle calculator.
Calculation of an equilateral triangle.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
planimetrybasic operations and conceptsUnits of physical quantitiesthemes, topicsGrade of the word problem
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- In an
In an ABCD square, n interior points are chosen on each side. Find the number of all triangles whose vertices X, Y, and Z lie at these points and on different sides of the square. - Strawberry candy selection
The opaque package contains five lemons, six apples, and three strawberry candies. At least how many sweets do we have to choose so that there is at least one strawberry among them? - Octagon perimeter area
From a square with a side of 4 cm, we cut four right-angled isosceles triangles with right angles at the square's vertices and with an overlap of √2 cm. We get an octagon. Calculate its perimeter if the area of the octagon is 14 cm². - N points on the side
An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Candy division proof
Mickey got so many candies that all the digits in this number were the same. Prove that whenever he can divide such several candies into 72 equal piles, he can also divide them into 37 equal piles. (Note: candies cannot be broken) - Combi-triangle
On each side of a square, 13 different points are marked (not at the vertices). How many triangles can be constructed from this set of points such that each vertex of the triangle lies on a different side of the square? - Sweets, candy
Grandfather gave out sweets to four children. At the last moment, two more children came, so to have them all the same, each of the four children had to give back four candies. How many candies did grandfather have in total?
