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You were asked to determine the diagonal measurement of a rectangular field. Describe...

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babylove12 | Student, Grade 10 | (Level 3) eNoter

Posted July 2, 2013 at 2:00 AM via web

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You were asked to determine the diagonal measurement of a rectangular field. Describe the process you would follow if you know the lateral dimensions of the field. Will you use the primary or secondary square root in your calculations? Explain. 

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aruv | High School Teacher | (Level 2) Valedictorian

Posted July 2, 2013 at 4:32 AM (Answer #1)

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We have a rectangle. In rectangle opposite sides are equal and each interior angle is right angle. Let one pair of opposite side is  be length and other be breadth.Further let rectangle be known as ABCD,vertices are taken in order.The AC and BD are the diagonals of rectangle ABCD.

By def  triangle ABC is right angle. By application of Pythagoras theorem ,now can determine measurement of AC

`AC^2=AB^2+BC^2`

since AC is  distance (Length) so we will go for positive square root

i.e.

`AC=sqrt(AB^2+BC^2)`  unit

Also diagonals of rectangle are equal so AC=BD.

 

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