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And welcome to video 15 which is a tutorial on Pythagoras and trigonometry this work is aimed at students studying the higher HOA unit three GCSE and in particular for help for students who've previously set the foundation who are trying the higher in this video I'm going to show you all the trigonometry you need to do with right angle triangles so everything in here is going to to do with right angle triangles but before we do that I just want to give you an overview of triangle trigonometry now there are lots involved in unit 3 with triangle trigonometry but it depends okay there are two cases the first case or for right angle triangles if we have right-angled triangles okay right-angled triangles there are two things that usually apply in this case the first thing is Pythagoras Pythagoras's theorem pi PI or ass and the second thing that applies is sohcahtoa which is a trigonometry okay and we'll get onto that during this session okay next is for non right-angled triangles now this video won't cover this but my next set of videos will but just to you should always be thinking what is upon here so non right-angled triangles and various rules apply here but mainly the main rules are the sine rule and the cosine rule so they're the main four things that are in play if you've got right-angled triangles you should be thinking Pythagoras sohcahtoa if you've got Ron right-angled triangles you should be seeing thinking sine or cosine rule okay this video is all going to be about right angle triangles so I'm going to remind you of Pythagoras which is a foundation chalk topic you should know that and move on to trigonometry or sohcahtoa and that's a topic you wouldn't have seen before so let's take a look straight away at Pythagoras now I would expect you to know Pythagoras from foundation level Pythagoras's theorem says that and it is says that we call the this side of a right-angled triangle the hypotenuse okay we always call it what's called the hypotenuse hypotenuse okay and if we laid with that say C okay that's always the longest side of a triangle the longest side is always opposite the right angle now the other two sides are the what we called the shorter sides we can call them a and B in any order it doesn't really matter Pythagoras said that if you square the hypotenuse you get the squares of the other two sides added together okay so you might see that written in the formula booklet or you might see that written in it in textbooks so a squared plus B squared C squared okay ie the hypotenuse squared is the sum of the other two sides squared so just to give you an example that's just rubbed out there if I didn't know this side the longer side is opposite the right angle C but I knew this one was three and this one was four C squared I know is three squared plus four squared okay you work that out 3 squared is 9 4 squared 16 so that's 9 plus 16 you add them together you get 25 now that's C squared it's not C so to get CR square root a square...