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In this video, let's learn an interesting property for rectangles.

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Let me take a rectangle over here.

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Now, let me take any point.

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Be inside Rectangle.

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OK, now over here, I have the vertices before vertices of the rectangle.

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Let me join P with the four vertices like this.

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Now let me name the former pieces as ABCDE.

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Now you will observe that aspect.

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This property be A squared plus B C square is equal to Butis squared plus B B squared.

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So if you have a point over here, anywhere inside the rectangle, if you join into the vertices and

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then the sum of the square of the distance from that point to opposite, what Vertices says will be

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equal to be squared plus squared is equal to pretty squared plus B, B square.

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Now, let's do an interesting question based on this.

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If you know this property, you can do this question very quickly or B is given A three centimeter,

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B, B is giving us four centimeter.

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B is giving us five centimetre.

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And you're asked to find B, C, so as per the property, which we just know, so we can easily find

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it to be A squared plus B C squared is equal, pretty squared plus B, B square the three squared plus

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B C squared is equal to five squared plus four square Y squared plus four square is twenty five plus

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sixteen.

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That's forty one APC square is equal to thirty two or pieces equal to the root of 32 which is four to.