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The diagonals of rectangle ABCD is 18 cm long and intersect in a 34 degree angle find the length and width of the rectangle

 Mar 7, 2022
 #1
avatar+1384 
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Using the equation:

 

 \(\sin(34) = {x \over 18}\)

\(18 \times \sin(34) = x\)

 

Evaluating this, we find the height is \(\color{brown} \boxed{10.06547226}\)

 

Now, doing the same thing, but with \(\cos(34)\) instead, we find the width is \(\color{brown}\boxed{14.92267631}\)

 

Ask me if you have any questions!

 Mar 7, 2022
edited by BuilderBoi  Mar 7, 2022
 #2
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is height and length the same also ty for teh answer :)

Guest Mar 7, 2022
 #3
avatar+1384 
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Height is \(\sin(34) = {x \over 18}\)

Width is \(\cos(34) = {x \over 18}\)

BuilderBoi  Mar 7, 2022

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