Given Coordinates: x1 = 1 y1 = 7, x2 = 6 y2 = 2
Distance Formula: d = √(x2 − x1)2 + (y2 − y1)2
Substitute the given coordinates into the Distance Formula and Simplify:
d = √(6 − 1)2 + (2 − 7)2
d = √52 + (-5)2
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (1, 7) and (6, 2) 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 = √(6 − 1)2 + (2 − 7)2
d = √52 + (-5)2
d = √25 + 25
d = √50
d = √25 * 2
d = √25 * √2
d = 5√2
Therefore, the distance between the points (1, 7) and (6, 2) is equal to 5√2
Note: As a decimal number, 5√2 ≈ 7.0710678118655