find the ratio between the diagonal of a rhombus when it's one angle is 60
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In Rhombus apposite angles are equal.
∠DAB=∠DCB=60°
∠ADC=120°
∠ADB= 2
120°=60°
In △ADB=∠ADB=∠ABD=∠BAD=60°
AD=AB=BD=a
since it is equilateral △
DM =21
BD=2a
In △DMC by applying pythagorous.
DM 2+CM 2= CD 2
CM 2= a2 - 4a2 = 43a2
CM = 23a
AC=2CM
AC=2× 23a =3a
a.
AC:BD= 3
a:a 3:1⇒ Ratio of the diagonals
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