Question

if p is (1,6) and r is (9,4) distance between the points p and r is​

Answer 1

Answer:

The answer is $2\sqrt {17}$

Step-by-step explanation:

Concept : Distance between the point A$(x_1,y_1)$ and B$(x_2,y_2)$ is given by

                                       $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Thus distance between P(1,6) and R(9,4) is

                                      $=\sqrt{(9-1)^2+(4-6)^2}\\=\sqrt{8^2+(-2)^2}=\sqrt{64+4}\\=\sqrt {68}=\sqrt{4\times 17}=\sqrt 4\times \sqrt {17}=2\sqrt {17}$