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In this video, let's discuss an interesting property of medians of right angle triangle.

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All right, let's take a right angle triangle over here.

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This is Triangle ABC and Angle B over here is 90 degrees.

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All right.

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Now, let's draw A median through B, that would be beardie.

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And this is the midpoint of Acee, right?

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So this is the median to the hypotenuse.

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Remember, hypotenuse is the side opposite the 90 degree angle.

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All right.

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Now in the right angle triangle, if you do this construction point over here will be the circle center

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so you can draw the circle circle like this.

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Right.

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And you can see that 80 DB and DC are equal.

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Right.

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And it's let's take it as X.

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So let me market over here.

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These three are equal, so X is equal to the sock'em radius.

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So that's a very important property, which we can use in many questions and remember, if Ebbie if

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it's given that a B is equal to B, C.

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Then this angle over here will be 90 degrees.

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It's not always 90 degrees if it is equal to B.S., that is, if it is an isosceles right angled triangle,

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then this angle will be 90 degrees.

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And why would that be?

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That's Asper Essence's congruency criteria, right?

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This side is equal to the side.

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This is a common sight.

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And if AB is equal to B.C., then these two sides are also equal.

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Therefore, triangle.

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A, B, B is congruent to Triangle C, the B right now, because of that, we can say that Anglade B

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is equal to Àngel could be.