Apply the pythagorean theorem to find the distance between points a and b. a) 32 units b) 34 units c) 64 units d) 68 units

Distance between points A and B is, units

Step-by-step explanation:

Given the coordinates point :

A = (4 , 2) , B = (-4, 0) and C = (4, 0)

Using distance formula:

i,e

First calculate the length of AC ;

where A = (4, 2) and C = (4, 0)

then using distance formula;

= 2 units.

Similarly, calculate the length of BC;

Using distance formula on the given points B =(-4, 0) and C = (4, 0)

then;

= 8 units.

Now, using Pythagorean theorem in triangle ACB; to find the distance AB

Substitute the values of AC = 2 units and BC = 8 units;

Simplify:

or

units.

Therefore, the distance between points A and B is, units