01 - The Distance Formula, Pythagorean Theorem & Midpoint Formula - Part 1 (Calculate Distance)

In this lesson, you will learn that the distance formula in algebra really comes from the pythagorean theorem. We will show how to find the distance between any two points in the xy cartesian plane using the distance formula.

The midpoint formula is used to find the mathematical point midway between two end points of a line segment. The pythagorean theorem is is a relationship between all three sides of any right triangle. We show how to use the pythagorean theorem by solving example problems.

[Charliedave]

If only all maths teachers were like this 😔, this man deserves much. Thanks a lot teacher, you explained more that my maths teacher could.

[fesseha]

Do you know how a Gem you are? All these years they were giving us the formula without understanding what these formula stand for or what they mean. But you just resurected the math in me. Thank you so much.

[yasir]

math and science is the best math lesson I have ever watched, I'm getting better
now.

[opdragon]

Heres a time stamp if you immediatly want to learn more about the distance formula 14:23

[borntobeaqueens]

Education should be free thank you. Although I took algebra in HS I was never good at it because the public school system failed me. Now I'm re-learning everything I took in HS so I can teach my sister. This helped a lot and again thank you.

[Dark-dsej]

Wherever you teach, your students are so lucky sir.

[commanderbensisko]

Maths teacher of the century!

In the midpoint formula section, you denoted the average of the x points as x2-x1/2 and similar for y.
Please help me to understand why it's not x2+x1/2 especially as later in the section when you write out the M formula, you actually do use M = x1+x2/2 and y1+y2/2.

By the way ....

Great work. Thank you so much. I discovered your videos last weekend and I have sat through and made notes on a number of them since. Your willingness to help people understand rather than memorise is helping me tremendously in my robotics ambitions. I was struggling really badly to understand the necessary maths until I found your work. If only they were available when I was actually taking my course :-)

[lisamccray]

To this math teacher.... CHEERS!!!! Bottoms up! (It's just some lemonade).

[paulmaggiar]

Thank you, very clear and informative. Just one thing, in the diagram for the midpoint formula you wrote X2 minus X1 divided by 2. The same for Y. Was that a slip of the marker, or am I missing something here.

[financialservicesprofessio]

Thank you for the comprehensive explanation.

[kws]

I am s senior citizen right now and this brought back a long distance memory.

[gm]

Excelent video however I saw couple of people a little cobfused because you said that distance formula is a subtraction (and you draw it) but later you say that is the average (so basically x1+x2/2. I believe it is the 2nd that is correct, right? Anyway, aside from that typo you are an excellent teacher, i love your videos, I tried to refresh my memory to help out my kid with math. Thanks so much for posting your videos!

[carrissaviadnes]

a. Use the Pythagorean Theorem to write an equation giving the relationship
between 𝑙 and 𝑥.
b. Find the distance from the boat to the deck when there is 75 feet of the rope
out

[tnmrcov]

I think the midpoint formula is written little bit wrong first time.
You wrote minus in between them instead of plus.

[stonkystyle]

Helping me on my angle classifying quiz

[simpleman]

for personal ref. 18:28 square root of both sides/ +&- sign in front of radical.

[santoshsharma-orzu]

These equations only apply on a flat plane, right ?(Btw, good lesson. It would be slightly more helpful if you added links to the video of the next lesson.)

[catbw]

Would you solve for the root of 20 and get a decimal and have that be your answer?

[nextblip]

I can't find part 2 of this video

[samuelsuweea.g.]

Thank you! l do wish to be your discipline!!!