00:01
So in this question we have that a is the point 21, 11, b is the point 49, 57, and c is the point 40, 45.
00:13
Now first of all we're going to calculate euclidean distance, and the distance in euclidean, the euclidean metric, is delta x squared plus delta y squared square rooted.
00:28
So d a b is the square root of 49 minus 21 squared plus 57 minus 11 squared.
00:40
So 49 minus 21 is 28, square that and add 57 minus 11 squared, then take the square root of that answer and we get 10 root 29, or to two decimal places 53 .85 miles.
01:01
The distance from b to c is the square root of 40 minus 49 squared plus 45 minus 57 squared.
01:13
So that's the square root of 9 squared plus 12 squared, which is 15.
01:21
And the distance from a to c is the square root of 40 minus 21 is 19, and 45 minus 11 is 34.
01:35
So the square root of 19 squared plus 34 squared is 38 .95 miles to two decimal places...