Area of Equilateral Triangle

Deriving the formula for the area of an equilateral triangle. You should definitely know this formula for geometry, SATs, and it's often helpful in first year calculus.

[@cole1178]

Thanks bro wasn't even thinking about 30 60 90 👍

[@peachyedits22]

In the future, I think it would be helpful to explain every little step instead of just saying it really fast. It would make it a lot easier to understand. Thanks for explaining it at least a little though! I couldn't find any other videos explaining it at all

[@turksvids]

Thanks for the comment. There's only so much time in life so I have to make choices here and there about what to explain, over explain, or assume prerequisite knowledge of, as I'm sure you understand.

[@peachyedits22]

@@turksvids yes, I understand. You still explained everything very well!

[@BubbleMuffin]

thank you!

[@sebastiancevenini3572]

At 1:33 how did you get 3s^2/4 ? Where did the 3 come from?

[@turksvids]

Before that we have: s^2/4 + a^2 = s^2 which can be rewritten as: s^2/4 + a^2 = (4s^2)/4 subtract s^2/4 from both sides: a^2 = (4s^2)/4 - s^2/4 collect like terms on the right: a^2 = (3s^2)/4 hope this helps!

[@sebastiancevenini3572]

@@turksvids It does thanks heaps!

[@sudristichapagain6879]

Thank u so much☺️ helped me a lot

[@jackh000]

what happened to that one and a half though. "1/2" *(base)(height) Did you neglect 1/2 ?

[@turksvids]

Base is s, so 1/2 base is s/2. Watch from about 1:50 again to see it. Hope this helps!

[@dre-oj1998]

I know the formula but I still don’t understand where the root 3 comes from. Why is the height root 3… and not something else?

[@mikeymouse7659]

i have the same question

[@peachyedits22]

It's because 697 can't subtract x^2/4 from x^2. You have to make them have a common denominator. So x^2 becomes 4x^2/4. And then you subtract x^2/4 from both sides to make the 3. He did that part in his head, so I was also confused.

[@jagrooprandhawa8993]

This is so confusing but thanks anyway

[@alexdennis7158]

If you want to learn how to be even more confused about working out the area of triangles - watch this!?!?

[@turksvids]

You shouldn't have to derive it more than once, really, then you just use it...?