00:01
Problem it is given that there is a trepezoid a b cd and in this trepezoid the diagonals a b the diagonals of the trapezoid trisect the mid segment of ab cd into three equal parts now we need to calculate the ratio of the basis for that let us draw the trapezoid and to the question as per the the diagram would be this one, that is a, b, c and d.
00:33
I'm considering the length of this ad side is equals to a units.
00:39
And here, there is a point d.
00:43
There is a point of p here.
00:46
I'm considering this point as f and this point as e.
00:50
Also, this is b length.
00:53
This both are equal, these sides are equal and these both sides are equal.
01:00
Therefore, the ratio of bases we need to find out is p -c by ad is equals to p -by -a.
01:09
This one we need to find out.
01:11
Now consider the trepezoid.
01:13
In the trepezoid, due to the symmetry of the triangles a -e -r, consider this triangle a -e -r and a triangle a -b -c...