00:01
So let's start with the problem.
00:03
We have been given a kite, okay? let me just draw it.
00:07
Okay, this is how the kite looks.
00:09
Okay.
00:10
And we have been told, let me just label the figure.
00:14
This is k -i -t -e, kite.
00:18
Okay.
00:19
Actually, this name of this figure is also kite.
00:23
Okay.
00:23
So we have been given the lens.
00:26
Okay, this is six, this is seven.
00:27
This is seven.
00:28
This is six.
00:29
Okay.
00:30
And we have been told that this side is equal to this side and also this side is equal to this side okay whenever you have been given like this okay two lines if they are cut like this means they are equal okay so these three they are equal okay so what we can do is we have been told to find a tangent of k -e -i okay tan of angle k -e -i okay so k -e -i -k -e -i -so k -e -i -k -e -i okay this is angle k e i so we have to find this i'll just mark it okay this angle you have to find so in order to find that angle we have been told to find the tangent okay so tan will be this upon this okay so we will require this particular measurement okay so for that we have to find that okay so let's start with the process okay so first of all i'll write tan a okay tan uh tan not a tan angle k e i it will be uh i'll name this point as o, okay, central point as o, that is k -o by o -e, okay? that is the perpendicular by base, that is perpendicular is the side opposite to the angle and base is the side adjacent to the angle, okay? so this is what we have written, okay? and we don't know what is k -o and you don't know what is o -e, okay? sorry, i have got a sorry, sorry for the disturbance, just one second.
02:02
Second okay so k o and o e okay so let's start we have to find this measure of k o e okay so for that we saw this is a right triangle triangle i know this measurement but i don't know this neither i don't know the angle okay so we will start with this thing okay so we have been given another right angle triangle over here these two sides are equal okay so what i'll take is i'll take these two sides as x okay, since they are equal, this will also be x.
02:34
So i'll write the right angle triangle, okay? in triangle, k -o -i, okay.
02:40
K -o -i, i'll make it, okay, this is six, this is k -o -i, and the sides will be x and x, okay? so i'll write using pythagoras theorem, okay? this is, you can write x square plus x square is equal to six square.
02:56
Okay, how it is? see, perpendicular square plus base square is equal to hypotenuse square, okay? so x square plus x square is equal to 6 square to x square is equal to 36 okay so x square is equal to 18.
03:12
So then what we can do is x equal to under root 18.
03:18
And this will be equal to 9 into 2.
03:21
9 i can take out this will become 3 root 2.
03:24
So i have found x equal to 3 root 2.
03:27
Okay, x is nothing but it is equal to what? k -o.
03:32
Okay, so i have got the value of k -o.
03:35
Okay, so i've got the value of k -o -e...