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.
I.S.I. & C.M.I. Entrance Program
Taught by students and alumni of I.S.I. & C.M.I.
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.
I.S.I. & C.M.I. Entrance Program
Taught by students and alumni of I.S.I. & C.M.I.
