Try this beautiful Trigonometry Problem based on Triangle from PRMO -2018, Problem 24.
If is the number of triangles of different shapes (i.e. not similar) whose angles are all integers (in degrees), what is
?
,
Trigonometry
Triangle
Integer
Pre College Mathematics
Prmo-2018, Problem-24
Given that is the number of triangles of different shapes. Therefore the different shapes of triangle the angles will be change . at first we have to find out the posssible orders of the angles that the shape of the triangle will be different...
Now can you finish the problem?
case 1 : when &
But we have one case
Try this beautiful Trigonometry Problem based on Triangle from PRMO -2018, Problem 24.
If is the number of triangles of different shapes (i.e. not similar) whose angles are all integers (in degrees), what is
?
,
Trigonometry
Triangle
Integer
Pre College Mathematics
Prmo-2018, Problem-24
Given that is the number of triangles of different shapes. Therefore the different shapes of triangle the angles will be change . at first we have to find out the posssible orders of the angles that the shape of the triangle will be different...
Now can you finish the problem?
case 1 : when &
But we have one case