10 grade maths> A triangle is formed by the points (6,0),...

A triangle is formed by the points (6,0),(0,0),(0,6).How many points with the integer coordinates are in the interior of the triangle?

ADYASHA , 7 Years ago

Grade 10

3 Answers

Nishant

Last Activity: 7 Years ago

Let me try a similar triangle: (0,0), (6,0), (0,6)

I assume that points on the side of the triangle are not "inside" it, so looking at each vertical line that is an integer value of x, I have x = 1, where the inside points go from y = 1 up to y = 4. We don't include y=5 because it is on the line itself, not inside.

The next value of x is x=2 where the possible integer values of y are y=1 up to y=3

So you can see that we can just add up the numbers:

= 4 + 3 + 2 + 1=10

sachin

Last Activity: 7 Years ago

So you can see that we can just add up the numbers:

= 4 + 3 + 2 + 1=10

sachin

Last Activity: 7 Years ago

assume that points on the side of the triangle are not "inside" it, so looking at each vertical line that is an integer value of x, I have x = 1, where the inside points go from y = 1 up to y = 4. We don't include y=5 because it is on the line itself, not inside.

The next value of x is x=2 where the possible integer values of y are y=1 up to y=3

So you can see that we can just add up the numbers:

= 4 + 3 + 2 + 1=10