![]() ![]() Hypotenuse over hypotenuse over each other long leg over long We can say that A over 10 is equal to eight over A Okay so what I'm looking for here oh alright we have A 18Īnd A look at that we have A one variable as repeat and so ![]() Number blah blah blah get the answer that's the goal here To get a proportion to get a variable by itself with a My guess is each one has a way that we can put them together Some proportion here and solve for a missing variable okay so Proportionate so we're going to take what we know can we make Have the long leg which is CB which is A in this case hereĪnd then our hypotenuse actually pretty easy two andĮight right there for BC is a ten so now what do we knowĪbout similar triangles is that their side lengths are Leg big leg here okay little leg is A C which is B then we The hypotenuse as A CB and then a large triangle we have little H then large leg D B which is eight which we know and then The same order little leg here is C D the length C D which is With A D C little leg is two big leg is H and hypotenuse isī here the second one same idea again not drawn to scale but in Have a little right triangle here and put what we know so Technique here okay so let's go draw these little triangles we Little A and then opposite of big B little B okay little Or height here let's call this one CB opposite of big A to be Let's give some labels here let's call the length C D R H Okay redraw of what we know now we have some question marks Redraw a little image under each one of the triangle here Kind of B back to A being the hypotenuse with that I like to Looks like an A C and then B with the hypotenuse being well Larger one A C being the small leg oops not C and the triangle We're going to do the same thing same thing here with the To our triangle okay small legs C D to then B the long leg and Small leg long leg in the order A D D C and then that's similar Small leg to long long leg so A D in that order A D C alright Triangle here I want to make sure I keep the same order the To show that they're similar here and in doing so we have a Have three right triangles as you can see A D C then B D CĪnd then A C B so I'm going to write these right triangles out Triangles we actually create three similar triangles theīeautiful beautiful little thing in geometry here and we That hypotenuse some things happen we have a lot of similar Line altitude here to this right angle here that goes into Triangle opposite of the right angle but we have a straight Which we have here, right angle the hypotenuse to the rightĪngle kind of see how it goes to the hypotenuse of the large Okay? And what that really does is when we have an altitude We know about the geometric mean theorem with altitude, Going to go tackle a way to solve this problem. So, pause this video, see if youĬan remember what you learned in geometry but if not, we're So, just that, we want to see if weĬan find those values. We have a height right here and the other Here which is centered for we want to find from missing parts Have an altitude and that's how created, well, these two parts Two and eight, A and D is two, D, B is eight and then, we On the bottom and we have a little lengths kind of written We have a right triangle with hypotenuse kind of laying MinuteMath and we're going to use a geometry here to find the | By Minute Math | Facebook | Hi, I'm Sean Gannon and this is We are given a right triangle that has its hypotenuse split by an altitude. Using Geometry to find the Legs and Altitude of a Right Triangle | Minute Math #geometry | Using Geometry to find the Legs and Altitude of a Right Triangle. ![]()
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