Question

What is the distance between the points (2, 5) and (5, 7)?

Answer 1

D^2=x^2+y^2

d^2=(dx)^2+(dy)^2

d^2=(5-2)^2+(7-5)^2

d^2=3^2+2^2

d^2=9+4

d^2=13

d=√13

Answer 2

Answer:

The distance between two points  (2, 5) and (5, 7) is √13

Step-by-step explanation:

Given: Points (2, 5) and (5, 7)            

We have to find the distance between the given points (2, 5) and (5, 7)

Consider the given points (2, 5) and (5, 7)

Distance between two points is calculated using formula

$D=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$\left(x_1,\:y_1\right)=(2,5),\:\left(x_2,\:y_2\right)=(5,7)$

Thus, $D=\sqrt{\left(5-2\right)^2+\left(7-5\right)^2}=\sqrt{9+4}=\sqrt{13}$

Thus, The distance between two points  (2, 5) and (5, 7) is √13