Let's do this question is equal to seven cities, equal to room to find Tiaro already was the video.
Give it a try and then let's do it together.
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Let me join you now.
You can see that it's given that Steve is equal to Tooru to right.
And it's given Picou is equal to seven.
Let me mark the given information.
All right, now, over here, you have a 90 degree angle, this is a 45 degree angle right there for
SRP has to be a 45 degree angle, some property of a triangle.
Right.
So BSR is the triangle or these triangles should add up to 180.
All right, let's proceed.
Now you can see that P.
Q t.
S is forming a cyclic quadrilateral, right?
Because all the forward is USPI and are on the circle.
Now, therefore, some of the opposite angles has to be 180 degree.
So angle is plus angle B, Q has to be 180 degrees and therefore you get that angle p, q, t also is
equal to 90 degrees because this one also is 90 degrees.
And because this is 90, this also will be 90 because these two former linear pair, that is this plus
this has to be 180 degrees.
So if this is 90, this is also 90 degrees.
Now let's observe triangle take.
You are you have one angler's.
Ninety one angler's forty five.
Therefore this angle over here that's angle Kutty are also has to be forty five degrees.
Right.
That's 180 minus 90 minus forty five.
That gives you forty five.
All right.
Now over here you have two equal angles in Triangle Kutty are two triangle Kutty is an isosceles triangle.
So if you are is X beauty also will be equal to X and tr will be equal to square root of two in the
X because this is the right angle triangle.
But there will be square root of X squared plus X square.
That's the root to into X.
All right, now let's take a triangle PSR this is the triangle PSR Triangle PSR and will be an angle
are equal to forty five degrees right there equal.
Therefore pIace is equal to Ezat.
Right.
All right, now over here, and Opsahl is a 90 degree angle, therefore, let me apply Pythagoras's
theorem to triangle PSR that gives me the hypotenuse of seven plus X-Rite seven plus X.
The whole square is equal to two root two plus two X.
That's this side, right.
The whole square and Assad and P.S. have to be equal.
So that's the same side repeated.
So seven plus X the whole square is equal to two times to row two plus two X the whole square.
Now let me take the root on the left hand side and the right hand side so I get seven plus X is equal
to root.
Two in two two two two plus two X.
Let me take the root to inside.
That's equal to four plus two X.
Right.
That's four plus two X, so seven plus X is equal to four plus two X.
That gives me X is equal to three.
Now we need to find tr tr we know here is bruto into X, X is equal to three.
So tr is equal to.
Route two into three.
That gives me three, Route two as the answer.