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Vika [28.1K]
3 years ago
12

In a rhombus, the sides are 14 inches long. two intersecting sides form a 60 degree angle. what are the exact lengths of the two

diagonals
Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0
Long Diagonal AD = Square Root  (2•Side² + 2•Side² • cos(A) )
Long Diagonal AD = <span>Square Root (2*14^2 + </span><span>2*14^2 * cos(60) )
</span><span><span>Long Diagonal AD = Square Root (</span> 392 + 392*.5)
</span>Long Diagonal AD = <span>Square Root (392 + 196)
</span>Long Diagonal AD = Square Root (588)<span>
Long Diagonal AD = </span><span><span><span>24.248711306 </span> </span> </span> <span>

Short Diagonal BC = Square Root  (2•Side² - 2•Side² • cos(A) )
</span><span>Short Diagonal AD = Square Root ( 392 - 392*.5)
</span><span>Short Diagonal AD = Square Root ( 392 - 196)
</span>Short Diagonal AD = Square Root (196)
<span>Short Diagonal AD = 14

</span>
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