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Explore the Back-StoryThe given problem is related to the calculation of area of triangle and distance between two points.

In a given plane, points and are units apart. How many points are there in the plane such that the perimeter of is units and the area of is square units?

2019 AMC 10B Problem 10

Problem related to triangle

6 out of 10

Secrets in Inequalities.

Notice that it does not matter where the triangle is in the 2D plane so for our easy access we can select two points A and B in any place of choice.

So we can actually select any two points A and B such that they are 10 units apart so lets the points are and , as they are 10 units apart.

Now we can select the point C such that the perimeter of the triangle is 50 units. and then we can apply the formula of area to calculate the possible positions of C.

- https://www.cheenta.com/root-of-equation-bstat-hons-2005-problem-2/
- https://www.youtube.com/watch?v=GaQ5WtUgWJ4

The given problem is related to the calculation of area of triangle and distance between two points.

In a given plane, points and are units apart. How many points are there in the plane such that the perimeter of is units and the area of is square units?

2019 AMC 10B Problem 10

Problem related to triangle

6 out of 10

Secrets in Inequalities.

Notice that it does not matter where the triangle is in the 2D plane so for our easy access we can select two points A and B in any place of choice.

So we can actually select any two points A and B such that they are 10 units apart so lets the points are and , as they are 10 units apart.

Now we can select the point C such that the perimeter of the triangle is 50 units. and then we can apply the formula of area to calculate the possible positions of C.

- https://www.cheenta.com/root-of-equation-bstat-hons-2005-problem-2/
- https://www.youtube.com/watch?v=GaQ5WtUgWJ4

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