Question

Given n points on x axis and m points on y axis, calculate the number of right triangles that can be formed using these n+m points.

Answer 1

n (if n is small)

m( if m is small)

n points on x axis and m points on y axis, the number of right triangles that can be formed using these n+m points.

1)if the n and m are equally divided

2)then the answer is n if n is small

3) answer would m if m is small

4)u can check by taking a rough sheet and assuming some values for m and n

Answer 2

Joining the different m points on the y-axis with different n points on the x-axis we can make (n×m) number of different right triangles.

Step-by-step explanation:

It is given that there are n points on the x-axis and m points on the y-axis and we have to calculate the number of right triangles that we can make using these (n + m) points.

If we consider there is one point on the x-axis and there are m points on the y-axis.

Then joining the m different points on the y-axis with the single point on the x-axis there can be m number of possible right triangles.

Again, if there are two points on the x-axis and m points on the y-axis then joining those m different points with those 2 points on the x-axis we can make 2m number of different right triangles.

In this way, joining the different m points on the y-axis with different n points on the x-axis we can make (n×m) number of different right triangles. (Answer)