Let's do this question, an equilateral triangle, because you are assigned 10 centimeters, or is any
point in the interior of the Triangle, EQR or A or B and C are perpendicular to B, Cucu, R and B
are respectively.
All right, fine.
Or A plus or B plus or C.
All right.
Draw a rough diagram and try to do this question on your own.
All right, we're back.
I hope you've given it a try.
Let's do it together now.
Let me start drawing a rough diagram.
I have a triangle because you are over here and it's mentioned that it's an equilateral triangle and
I take any point inside, pick you up and I drop perpendicular to the respective sides.
So this is this is Orsi and this is Alby.
And these are all perpendicular.
All right.
Now, what is the area of an equal triangle?
We have seen that if the side of the equilateral triangle is E, then the area of the equilateral triangles,
route three by four is square.
Right now it's mentioned that the side is 10 centimeter, therefore is equal to 10 centimeter.
And hence the area is ruled three by four into 10 square, which gives you twenty five root three.
All right.
Now let's join be all or Q and all our.
All right, now you can see that the area of Triangle P, Q, R can also be found as the area of Triangle
B or Q, that's this triangle over here, plus the area of Triangle B or that's this triangle over here.
Plus the area of triangle you are that's this triangle over here.
So if you are the area of these three triangles, you will get the area of Triangle Park.
You are all right.
Now let's proceed.
We know that the area of a triangle is half base in height right now.
Over here, let's try to find the area of Triangle Yoku.
We have B OK, you over here.
We know that it is A perpendicular from Vertex or right.
So therefore always the height when P Q is the base.
So I can write the area of triangle POTUS half into ten into it because I know BQ is ten, because Triangle
Epicure is an equilateral triangle right now.
Similarly, I can find the area of Triangle B or R as half in the ten into orbit and the area of Triangle
Q is half in or C.
All right, let's make some space over here.
All right.
Now this gets simplified right to and over here.
Also, I can cut out two.
So this is five or six five Olby and this is five or C, therefore the area of triangle P, Q R is five
times or A plus or B plus or C, and that is equal to what we have got over here because this is also
the area, but this is equal to twenty five root three.
Therefore we need to find or A plus or B plus or C.
Right.
So I just need to cut out five from both the sides and I get the answer as five root three, which is
option eight.