Let's do this question in an equilateral triangle, ABC, it is an altitude now you can see in further
videos that an altitude through a is a line that is drawn to a vortex and it is perpendicular to the
opposite side.
All right.
Now, let's move on the question since then, for every square is equal to the four times it is square
is equal to now.
Pause the video, give it a try and then let's do it together.
All right.
We're back.
Let's do it together.
It's mentioned that triangle ABC is an equilateral triangle right there for every side is equal to eight.
And this is an altitude.
Therefore, this is a 90 degree angle.
Now, in an equilateral triangle, the median and altitude coincide.
Right?
The median and the altitude coincide.
Therefore, if it is the altitude, then it is also the median.
Therefore, Beatty is equal to DC, which is equal to embittered.
Now, why does this coincide?
You can see that triangle a b the.
Is congruent to triangle ADC.
Why is that so we have this congruency, this side is equal to decide, this side is a common sight
and you can see that.
This angle is equal to 90 degree and this angle is equal to 90 degree, so it's just congruency, right?
It's the right angle.
Hypotenuse is equal and one side is equal.
Therefore, these two triangles are congruent.
If this is a 90 degree angle and hence really will be equal to D.C. and hence because B C is given us
A and B is equal to D.C., we can arrive at Bery as a two.
All right, now.
Let's move on.
Let me just put it down over here, bit congruent to ATC.
All right.
Now, Abdeh, is that right?
Angle triangle, right?
Because we dropped an altitude from it.
So this angle over here is 90 degrees.
Therefore, AB Square is equal to 80 square plus Biery Square as per Pythagoras's theorem.
Right.
Abey's the hypotenuse I put in a square is equal to the sum of the squares of the other two sides.
That's what we have written over here.
Now we know abs equal to eight.
We know Beedie is equal to Ebeye two.
Right.
So let's write that over here.
That's absolutely Ebbe and beauty values over here.
So that's a square is equal to 80 squared plus Ebeye two the whole square which is equal to square by
four.
Now let's take a square by four to the other side and we get 80.
Square is equal to square minus a square by four which is equal to three by four square.
And let's take four over here.
We get for 80 square is equal to three square.
Right.
And that gives us the answer.
We have to find out for every square.
Right.
That's what is asked.
That's equal to three a square.
And in the options, you can see that B is given over here.
Absolutely right.
So this option is the correct answer because three square is the same as three square and four square.
We have proved over here is equal to three square.