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00:00:02

already passed the mark, now it’s time to

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digest mathematics and I

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still remember that you love

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geometry very much, so let’s start the new year

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with it and there’s

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no need to yell, but why are you trying with all your might to

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spend five minutes on it what

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can be solved in literally two seconds I

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will share with you today my

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tricks regarding geometry what

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formulas help me solve problems very

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very quickly let's go here in front of us is

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a square what is special about a square

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well of course you know that all its sides are

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equal and if suddenly we know the length of

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the side then finding the diagonal turns out to be

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as easy as shelling pears d is equal to and the roots of 2

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how many of these problems have you encountered? They give you the

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side of the square and you start solving

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it using the Pythagorean theorem. You don’t have to

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immediately substitute the length of the side here and

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here in front of you there is a ready-made length

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of the diagonal, how will this help for a

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rectangular triangle, if suddenly

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there are problems in which there is an

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isosceles right triangle,

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then the hypotenuse is the same diagonal of

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the square, so if I say that the

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side of the triangle is equal to example 5, then

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immediately immediately the hypotenuse

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is equal to 5 roots, not cool, but

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now there are a couple of formulas that are very

00:01:25

difficult to remember, but I recommend it because

00:01:28

that many problems are solved with the

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help of them if we have a right

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triangle

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the legs can be different if we

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draw the height of the

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hypotenuse the hypotenuse is divided into two

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parts let us denote here c and here it

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means cb this is the height of h so it

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turns out h squared is equal to

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c and multiplied by c v.b. look, we

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can instantly solve and find the

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length of the height in this

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triangle and the second rule is if we

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draw the height h, it’s about splitting

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the hypotenuse into two parts,

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let it be a church and all

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at ease, this is the price, this side

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is designated by rolls for and this leg is west

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so the length of any kitten in a square,

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let’s say a square is equal to

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the product of the part, this is the hypotenuse

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which forms the height on the side

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namely a c multiplied by the entire hypotenuse c

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for Katya then b is a similar formula b

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squared equals look b squared

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equals its part multiplied by the whole

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hypotenuse with b multiplied by c formulas are

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so complicated, but it is much easier to

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use ready-made formulas than

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to find the similarity of triangles and through

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this similarity to export these formulas

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every time, but a couple more nuances that will make your

00:02:59

life easier with geometry, look at

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trapezoids, here is a parallelogram, very

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often everyone forgets about one-sided

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angles are full of problems where you are given one

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angle and to solve the problem you really need to

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know 2 here, similar to the example, we

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know the angle from below, you need to know what

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angle 2 is equal to, how to do this if for

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a parallelogram the situation is simpler

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because here the opposite

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angles are justified and many people start working through 360

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degrees, in fact, everything is much simpler

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because with parallel lines and a secant,

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the sum of one-sided angles is equal to 180

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degrees, knowing one angle, remember that the

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pair should give 180 together and from 180

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subtract the boa constrictor known to you and you

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will find out 2 here, similarly, this pair

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should give 180 degrees knowing

00:03:56

you can easily find this angle, this is it, and the same

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thing works for these angles at the

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base because the

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opposite sides of the program are parallel, we take

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this secant and these two angles

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should also give the sum 180 degrees, and

00:04:13

a little more about parole grams we have a

00:04:16

formula for area s equals

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2 times but there is a problem in which they do

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n’t give you clay bases they give you the

00:04:27

middle line and many people start having

00:04:30

problems knowing the middle line they try to

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find what the base is equal to but you do

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n’t have to do this look at this

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formula

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gives us the length of the middle lines therefore 8

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kilograms and can be found using the formula m

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multiplied by yours, it’s

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enough to know the middle line to

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calculate the area of the parallelogram, that’s

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all, I perfectly understand your mood, I don’t want to learn all this

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and I, like

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you, don’t want to learn all this, but these are

00:05:01

the formulas this is the main thing that will help you solve

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geometry problems quickly and correctly, I

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tried with this video to show you all

00:05:08

my tricks that I use when

00:05:10

solving problems, if this video was

00:05:12

useful to you, put your fingers up, we make

00:05:14

a lot of useful content, so

00:05:15

subscribe to our channel and I will

00:05:17

try to tell you tell you about your

00:05:18

tricks in solving problems and happily

00:05:20

so far

00:05:27

5 on the indisputable though register,

00:05:30

by the way, sign up for a free

00:05:33

lesson link in the description

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