Question

Find the distance between the points (0,-8) and (3,2). Round your answer to the nearest hundredth.

Answer 1

Answer:

10.44

Step-by-step explanation:

First plot each of the points on to a graph at their respective positions.

Following that create a 90° triangle out of the points. This will create a 3 by 10 triangle. (3 to 0 is 3) (-8 to 2 is a difference of 10)

You can then use the pythagorean theorem $a^{2} +b^{2} = c^{2}$.

Insert the lengths of each of the sides that we got earlier which would be 3 and 10 into the equation. $3^{2} + 10^{2} = c^{2}$

Since we want to find the hypotenuse which is equal to c we work the equation to 9+100 = $c^{2}$ which in turn is 109 = $c^{2}$

Then take the square root of 109 to remove the square from the c to get c = 10.44