Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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)


Sagot :

Answer:

[tex]d=\sqrt{53}[/tex]

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 :

[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

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

Put all the values,

[tex]d=\sqrt{(-8-(-1))^2+(-3-(-5))^2}\\\\d=\sqrt{49+4}\\\\d=\sqrt{53}[/tex]

So, the distance between the points is equal to [tex]\sqrt{53}[/tex]

Step-by-step explanation:

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(-3,5) and (-5,-2)

View image felicejohnson
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.