Problem 49938. Splitting Triangle - Problem the third

Created by Doddy Kastanya
Appears in Splitting Polygons

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Consider an equilateral triangle sitting in Quadrant I as depicted in an example below:
This triangle is to be split into two regions (e.g., red and blue). Given the ratio between the two regions and the side of the equilateral triangle, determine the radius of the circle defining the red region. The ratio between the regions (red to blue) is presented through the first two entries in the input. For example, if the ratio is 3 to 5, then these two numbers will be the first two entries in the input. The last entry is the side of the equilateral triangle. Please also consider the following possible configuration:

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Last Solution submitted on Apr 10, 2024

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Rafael S.T. Vieira on 31 Oct 2022

To calculate the area when the radius is greater than the triangle's height, we would have to calculate the intersection between the circle & the triangle, two integrals, and a trapezoid's & a triangle's areas. But it seems no test does it know (only the test #2 may cause a precision error).

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Problem 49938. Splitting Triangle - Problem the third

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Last 200 Solutions

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Problem 49938. Splitting Triangle - Problem the third

Solution Stats

Last 200 Solutions

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Solution Comments

Problem Recent Solvers26

Suggested Problems

More from this Author180

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Community Treasure Hunt

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