Please help me out!!!!
Dear student,
ABCD is a rhombus. So all of its sides are equal.
Now, BC = DC
⇒ ∠BDC = ∠DBC = xo (Angles opposite to equal sides are equal)
Also, ∠BCD = 60o
∴ xo + xo + 60o = 180o
⇒ 2xo = 120o
⇒ xo = 60o
i.e., ∠BCD = ∠BDC = ∠DBC = 60o
So, ∆BCD is an equilateral triangle.
∴ BD = BC = a
Also, OB = a /2
Now, in ∆OAB, we have:
Regards
ABCD is a rhombus. So all of its sides are equal.
Now, BC = DC
⇒ ∠BDC = ∠DBC = xo (Angles opposite to equal sides are equal)
Also, ∠BCD = 60o
∴ xo + xo + 60o = 180o
⇒ 2xo = 120o
⇒ xo = 60o
i.e., ∠BCD = ∠BDC = ∠DBC = 60o
So, ∆BCD is an equilateral triangle.
∴ BD = BC = a
Also, OB = a /2
Now, in ∆OAB, we have:
Regards