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What is the length of the dotted line in the diagram below? round to the nearest tenth

What is the length of the dotted line in the diagram below? round to the nearest tenth-example-1
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User Ppovoski
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1 Answer

3 votes

Answer:

8.1

Explanation:


From \: the \: diagram, \: we \: can \: see \: a \: rectangle \: joined \: to \: a \: right \: angled \: triangle\: and \: the \: hypotenuse \: appears \: to \: be \: the \: breath \: of \: the \: rectangle


So \: using \: Pythagoras \: theorem \: to \: find \: the \: hypotenuse \: of \: the \: triangle.


\sqrt{4 {}^(2) + 5 {}^(2) } = √(41)


= 6.4


To \: find \: the \: dotted \: line, \: inside \: the \: rectangle \: we \: also \: use \: Pythagoras \: Theorem \: because \: of \: the \: right \: angled \: triangle \: formed


\sqrt{ {6.4}^(2) + 5 {}^(2) }


√(65.96) = 8.1215


≈8.1 \: to \: the \: nearest \: tenth

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User Permagnusson
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