How to Find Orthocenter Given 3 Vertices (Algebraically)

Learn how to find the orthocenter algebraically given 3 vertices of a triangle in this math video tutorial by Mario's Math Tutoring. We discuss what the orthocenter is and how to find it. We make use of the slope equation as well as the point slope form of a line in this lesson to find the orthocenter.

0:16 What is the Orthocenter?
1:08 Find the slope and opposite reciprocal slope
2:00 Write the equation of the altitude using slope intercept form
2:24 Find the 2nd altitude using slope formula
2:52 Use point slope form of the line to find the equation of altitude
3:30 Use substitution to find the point of concurrency of the 2 lines

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[spynix]

I normally do really well in math, but this topic stumped me, thanks for this video.

[pravithgouroji]

Watched the 1st minute and already learned more than I would in class.

[vahinnakkala]

ur the best tutor, whenever I don't pay attention in class I always come to u last min thanks

[samanthafeuer]

My teacher made this way harder than it actually is. You are such a good tutor. Thank you!

[moosemaen]

My teacher is trash and horrible at teaching, this was so helpful, keep uploading great content and I hope your successful!!!

[Nico-ywfi]

I’m good at learning math quickly, and since I almost never pay attention in class yk I gotta make a trip to this channel the day before a test

[jirahrobles]

Thanks a lot! I've been having a hard time finding the orthocenter using the way written in our modules. Following this step, I finally found it! You're such a great help! I'll subscribe. harts harts <3

[mohamedyassin]

can i give you an equation to solve that equation is too easy compared with my one

[narendrasingh]

Your video is really helpful to understand this concept ...Love you from India

[harishanand]

Thank you mario. Really well explained. I have a test on this tomorrow, and this cleared everything up. Thanks a lot! Keep up the great work.!

[jenniferwagner]

THANK YOU SO MUCH FOR EXPLAINING THIS SO WELL!

[ritzzzblitzz]

Oh! you made it much easier. Thank you so

[anaelbrodski]

because of u i might not fail geometry thank you

[lilida]

I’ve been completely stuck on this and my teacher doesn’t really do a step by step(assumes we know alr since it’s honors geometry), but I needed this AND I LIT JS SOLVED THIS QUESTION IVE BEEN STUCK ON FOR DAYS!! THANK YOU SM

[askme]

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[rebeccashuster]

mario be going sonic speed. (but thanks, i really needed this)

[Nahjitwhat]

As an eight grader this is really helpful

[yani_tube]

I have a question I’m confused on this question “Which are the two ways that we can represent x and y coordinates of points?”

[Alfredo]

Great! Thank u.
Can u do a video on Limits?

[soggymuffin]

Thank you for saving my grade on my final