00:01
Hi, in this question first let us draw the diagram from the given information.
00:05
This is the diagram.
00:07
So your a, b, c is the triangle and a, d, e, f is a rombus.
00:13
So rombus opposite sides, they will be parallel to each other.
00:19
So this sides are parallel to each other.
00:22
It has been given to us that major of side a, b is equal to 14th.
00:31
Side ac is equal to 10 and side b c is equal to 12, we have to find be and ec.
00:40
So to find be and ec.
00:49
To start with that, we will consider first two triangle c -f -e and triangle c -a -b.
01:03
Over your angle, c -f -e is equal to angle c -a -b.
01:09
They are corresponding angles as ef is parallel to a, d.
01:18
Then we can say that angle c ef is equal to angle cba.
01:28
Again we can say that fe is parallel to a, b.
01:36
And then by the a -a test of congruency or similarities, we can say that this therefore, the triangle c -f -e is similar to triangle c -a -b by a -a test.
01:56
As the triangles are similar, we can say that we have c -f divided by c -a will be equal to f -e divided by a -b will be equal to c -e divided by c -b...