Question

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points in simplest radical form.
(−5,−1) and (−3,−8)

Answer 1

Answer:

$d=\sqrt{53}$

Step-by-step explanation:

We need to find the distance between two points i.e. (−5,−1) and (−3,−8).

It can be calculated using distance formula as follows :

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

We have, x₁ = -5, x₂ = -3, y₁ = -1 and y₂ = -8

Put all the values,

$d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}$

So, the distance between the points is equal to $\sqrt{53}$