Question

If Z represents the third vertex in the triangle and is located in the second quadrant with integer coordinates, what is the length of YZ?
3
4
5
6

Answer 1

To determine the length of \( YZ \), we need the coordinates of the points involved, including \( Y \) and \( Z \). However, the actual coordinates of these points weren't provided in your question.

If we know the coordinates of point \( Y \) and understand that point \( Z \) lies in the second quadrant, then the coordinates of \( Z \) can be expressed as \( (x, y) \) where \( x < 0 \) and \( y > 0 \).

For example, if we assign \( Y \) the coordinates \( (a, b) \) where \( a \) and \( b \) are known integers, we can compute the distance \( YZ \) using the distance formula:
\[
YZ = \sqrt{(x - a)^2 + (y - b)^2}
\]

If you provide the specific coordinates for points \( Y \) and any additional details about point \( Z \), I can calculate the length of \( YZ \) effectively. Please share that information, and I'll be glad to help!