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The figure above represents a triangular field.

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The figure above represents a triangular field. [#permalink] New post 14 Oct 2017, 15:04
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Question Stats:

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Attachment:
traingle.jpg
traingle.jpg [ 11.89 KiB | Viewed 771 times ]


The figure above represents a triangular field. What is the minimum distance, in meters, that a person would have to walk to go from point A to a point on side BC?

enter your value in meters

[Reveal] Spoiler: OA
60

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Re: The figure above represents a triangular field. [#permalink] New post 14 Oct 2017, 20:47
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The figure above represents a triangular field. What is the minimum distance, in meters, that a person would have to walk to go from point A to a point on side BC?

enter your value in meters

[Reveal] Spoiler: OA
60



Here the two sides AB and AC are equal, so we can conclude that

the\({\triangle} ABC\) is isosceles.

Now the minimum length from A to BC will be the perpendicular line.

Since the \({\triangle} ABC\) is isosceles and perpendicular line from A to BC will meet at the midpoint D (as shown in the figure)

Now consider the \({\triangle} ABD\)

AB = 100 , BD =80 and we need to find AD

Using Pythagoras theorem

AD = \(\sqrt{(10000 - 6400)}\) = 60

or we can see that the sides of \({\triangle} ABD\) are in the ratio 3:4:5

= 60:80:100

Ans = 60
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Re: The figure above represents a triangular field.   [#permalink] 14 Oct 2017, 20:47
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The figure above represents a triangular field.

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