Question

Use the distance formula to find the distance between the points (−10,−9) and (−3,8).

Answer 1

Step-by-step explanation:

the distance can be seen as Hypotenuse of a right-angled triangle with its legs being the x and y coordinate differences.

so, we use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

distance² = (-10 - -3)² + (-9 - 8)² = (-7)² + (-17)² = 49+289 =

= 338

distance = sqrt(338) = sqrt(2×169) = 13×sqrt(2) =

= 18.38477631...