Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

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?

Nishant
22 Points
4 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
85 Points
4 years ago

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
85 Points
4 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