In this video, let's discuss an interesting property of medians of right angle triangle.
All right, let's take a right angle triangle over here.
This is Triangle ABC and Angle B over here is 90 degrees.
All right.
Now, let's draw A median through B, that would be beardie.
And this is the midpoint of Acee, right?
So this is the median to the hypotenuse.
Remember, hypotenuse is the side opposite the 90 degree angle.
All right.
Now in the right angle triangle, if you do this construction point over here will be the circle center
so you can draw the circle circle like this.
Right.
And you can see that 80 DB and DC are equal.
Right.
And it's let's take it as X.
So let me market over here.
These three are equal, so X is equal to the sock'em radius.
So that's a very important property, which we can use in many questions and remember, if Ebbie if
it's given that a B is equal to B, C.
Then this angle over here will be 90 degrees.
It's not always 90 degrees if it is equal to B.S., that is, if it is an isosceles right angled triangle,
then this angle will be 90 degrees.
And why would that be?
That's Asper Essence's congruency criteria, right?
This side is equal to the side.
This is a common sight.
And if AB is equal to B.C., then these two sides are also equal.
Therefore, triangle.
A, B, B is congruent to Triangle C, the B right now, because of that, we can say that Anglade B
is equal to Àngel could be.