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Explore the Back-StoryTry 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 &

1,1,178

2,2,176

89,89,2

But we have one case

Such type of triangle

When 3 angles are same

So all distinct angles's triangles

Now, distinct triangle

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 &

1,1,178

2,2,176

89,89,2

But we have one case

Such type of triangle

When 3 angles are same

So all distinct angles's triangles

Now, distinct triangle

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