Given Coordinates: x1 = 1 y1 = 8, x2 = 2 y2 = 1
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − 1)2 + (1 − 8)2
d = √12 + (-7)2
d = √1 + 49
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (1, 8) and (2, 1) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(2 − 1)2 + (1 − 8)2
d = √12 + (-7)2
d = √1 + 49
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (1, 8) and (2, 1) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655