Question

The distance between (2, 3) and (1, 7) is:
117.
1.
16.
17.

Answer 1

Explanation:

2 points in a coordinate grid create a right-angled triangle.

the distance is the Hypotenuse (the side opposite of the 90° angle). and the x coordinate and y coordinate differences are the legs.

and with that we use Pythagoras

c² = a² + b²

with c being the Hypotenuse, and a and b being the legs.

so, in our case :

distance² = (1 - 2)² + (7 - 3)² = (-1)² + 4² = 1 + 16 = 17

distance = sqrt(17)

Answer 2

Sqrt of 4²+ (-1)² = Sqrt. of 17