One angle of a rhombus is 60o The shorter of th... - JAMB Mathematics 1991 Question
One angle of a rhombus is 60o. The shorter of the two diagonals is 8cm long. Find the length of the longer one.
A
8\(\sqrt{3}\)
B
\(\frac{16}{\sqrt{3}}\)
C
\(\sqrt{3}\)
D
\(\frac{10}{\sqrt{3}}\)
correct option: a
\(\frac{x}{4}\) = \(\frac{\tan 60}{1}\)
x = 4 tan60
= 4\(\sqrt{3}\)
BD = 2x
= 8\(\sqrt{3}\)
x = 4 tan60
= 4\(\sqrt{3}\)
BD = 2x
= 8\(\sqrt{3}\)
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