In this video, let's discuss how to find the area of a tropism over here, you have Trapezius ABCDE
and we know Abbi's parallel to.
All right.
Now let the measurement of ABC and let the measurement of DCB be.
Now, let's construct the altitude's at Vertex A and B.
To let the height be it now, let this distance over here, the.
X, let it be B one and C white, let it be B three and let this X Y be two.
So let me out of the measurements as B1, B2 over here.
And this is B three.
Now we are trying to find the area of this Topsham, but you can see from the figure that the area of
this trapezius will be equal to the area of this triangle, plus the area of this rectangle, plus the
area of this triangle over here.
So that is half we want to into X plus B, two into it plus half B three.
Do it right.
Remember, any of a triangle is half base into height and area of this rectangle.
It's in the B2 that is side into the other side.
All right.
Now let's pick it out because it's a common factor in these three terms.
Right.
And let me multiply this with two and.
Right.
It has divided by two, but I can now take on it by two.
So this becomes a two by two to be one plus to be two plus B three.
All right.
Now, over here you can see B one plus two plus B three is equal to be.
Right.
So I can write this as it's by two in the B plus B two.
Right.
All right, now over here also, you can see that BE2 is equal to it.
Let me right in sort of two and this becomes its bitou into E-Plus B, therefore, the area of a tropism
is half the height of the tropism or the distance between the parallel sides into the some of the parallel
sights lengths.
But this is the way we find the area of trapezius.