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

Question

Mathematics

Efrain Avery

8 April, 05:16

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

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Answers (1)

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Alonso Meza · Answer 1

Long Diagonal AD = Square Root (2•Side² + 2•Side² • cos (A))

Long Diagonal AD = Square Root (2*14^2 + 2*14^2 * cos (60))

Long Diagonal AD = Square Root (392 + 392*.5)

Long Diagonal AD = Square Root (392 + 196)

Long Diagonal AD = Square Root (588)

Long Diagonal AD = 24.248711306

Short Diagonal BC = Square Root (2•Side² - 2•Side² • cos (A))

Short Diagonal AD = Square Root (392 - 392*.5)

Short Diagonal AD = Square Root (392 - 196)

Short Diagonal AD = Square Root (196)

Short Diagonal AD = 14