Question

Find the distance d(P1, P2) between the given points P1 and P2: P1 =(0,0) P2 = (2,3)d(P1,P2) = (Simplify your answer using radical as needed)

Answer 1

Recall that given points (a,b) and (c,d) the distance between them would be

`d=\sqrt[2]{(c\text{ -a\rparen}^2+(d\text{ -b\rparen}^2}`

In our case we are given a=0,b=0,c=2,d=3. So the distance would be

`d=\sqrt[2]{(2\text{ -0\rparen}^2+(3\text{ -0\rparen}^2}=\sqrt[2]{2^2+3^2}=\sqrt[2]{4+9}=\sqrt[2]{13}`

so the distance between them is the square root of 13.