We are using the Pythagorean rule and I'm a little confused...
Solve each problem using a grid.
Round your answer to the nearest hundredth.
Dover is located at (1,2) and Goodlow is located at (5,7). How far apart are the 2 cities?
My answer is 6.40... am I doing this right? If not please explain. Thanks.
dist^2 = (5-1)^2 + (7-2)^2
= 16+25
= 41
distance = √41 = appr 6.40
You are correct.
To solve this problem using the Pythagorean rule on a grid, you need to find the distance between two points. Let's call the coordinates of Dover (x1, y1) and the coordinates of Goodlow (x2, y2).
In this case, the coordinates of Dover are (1,2) and the coordinates of Goodlow are (5,7).
To calculate the distance between these two points, we use the formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the values we have:
Distance = sqrt((5 - 1)^2 + (7 - 2)^2) = sqrt(4^2 + 5^2) = sqrt(16 + 25) = sqrt(41)
Now, to round the answer to the nearest hundredth, we need to calculate the square root of 41.
The square root of 41 is approximately equal to 6.40.
So, your answer of 6.40 is correct. Well done!