what is the length between (0,4) and (-3,0) Using the Pythagorean theorem
To find the length between two points using the Pythagorean theorem, we need to find the distance between their x-coordinates and their y-coordinates separately, and then apply the theorem.
The distance between the x-coordinates is given by:
Δx = |x2 - x1| = |-3 - 0| = 3
The distance between the y-coordinates is given by:
Δy = |y2 - y1| = |0 - 4| = 4
Now, we can apply the Pythagorean theorem:
d = √(Δx^2 + Δy^2)
= √(3^2 + 4^2)
= √(9 + 16)
= √25
= 5
Therefore, the length between (0, 4) and (-3, 0) using the Pythagorean theorem is 5 units.