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Abcd is a Rectangle Whose Three Vertices Are A(4,0), C(4,3) and D(0,3). Find the Length of One Its Diagonal. - Mathematics

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ABCD is a rectangle whose three vertices are A(4,0), C(4,3) and D(0,3). Find the length of one its diagonal.

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Solution

The given vertices are B(4, 0), C(4, 3) and D(0, 3) Here, BD one of the diagonals So 

BD =`sqrt((4-0)^2+(0-3)^2)`

`= sqrt((4)^2 +(-3)^2)`

`=sqrt(16+9)`

`= sqrt(25)`

= 5 

Hence, the length of the diagonal is 5 units .

Concept: Coordinate Geometry
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RS Aggarwal Secondary School Class 10 Maths
Chapter 16 Coordinate Geomentry
Q 3

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