In this video, let's continue analyzing rectangles, we have seen that rectangles are a parallelogram
and each angle in a rectangle is equal to 90 degrees.
All right, now let's see a new property.
The diagonals in a rectangle are equal.
So because a rectangle is a parallelogram.
We know that diagonals bisect each other right now.
In addition to that, in a rectangle, the diagonals are also equal.
Let's take a rectangle over here.
We have a rectangle, ABCDE.
All right.
Now let's construct a diagonal.
This is diagonal easy and let's do the other diagonal.
This is diagonal, Beadie.
Now let's analyze two triangles over here.
Let's take a triangle ADC and triangle B, C, D.
All right.
Which are these triangles?
Is this ADC?
That's this triangle over here and which is Triangle BCT.
That's this triangle over here is just that the orientation is changed in a manner that it looks similar
to this triangle over here.
Now let's try to observe these two triangles.
What is it that we can observe?
We can see that it will be equal to B.C., right.
Because these are opposite sides of the rectangle and they are equal.
Similarly, KDDI will be equal because it's a common sight.
And you can see that.
And the ADC is equal to and BCT because both of these angles are 90 degree angles.
So we have that.
These two sides are equal, these two sides are equal, and this angle is equal to this angle.
Therefore, as far as it is congruence criteria, triangle ADC is congruent to Triangle BCT now.
Therefore AC is equal to beardie, right?
Because they are corresponding parts of two congruent triangles.
Now we have seen that X equals beauty, right?
That means the diagonals in a rectangle are equal.
So in the triangle, in a rectangle, the diagonals are equal and the diagonals bisect each other.
The diagonals bisect each other because the rectangle is a program.
All right.
Now, remember, they don't visit each other at right angles.
That is this angle or this angle or this angle or this angle is not necessarily a 90 degree angle now
because the diagonals beside each other, we know that this is equal to this.
So let's call this as all so all is equal to obey and all it is equal to Orsi.
Right, because diagonals bisect each other in the case of a rectangle, because a rectangle is a parallelogram
now, because the diagnoses are also equal.
In the case of a rectangle, you will see that all A is equal to or is equal to, or C equal to or B
in the case of a rectangle.
So always equal will be is equal to or C is equal to or the.