Answer: = 36° CD= 6, BC= 8.258 cm and BD=10.20cm
Explanation: Since, the total central angle of pentagon =360°
Thus, =360°/5= 72 ( because pentagon made by the 5 equal triangles.
Since, BC bisects therefore = = 72°/2=36°
b) Since, AD makes 1/5 of the total perimeter of the pentagon, therefore, AD=60/5=12
And,C is the midpoint of AD⇒ CD=AD/2=12/2=6
c) In , tan36°=CD/BC⇒BC=CD/tan36°=8.25829152289≈8.258 cm
e) Again in ,
Sin36°=CD/BD⇒ BD=6/0.58778525229=10.2078097003≈10.20