Question

In a regular pentagon ABCDE prove that AC = BE.​

Answer 1

given:ABCDE is a regular pentagon

to show:AC=BE

In ∆ABC and ∆ABE

AB=AB(common)

angle ABC=angle BAE( interior angle)

BC=AE(side of regular pentagon)

∆ABC congruent to∆BAE( by SAS )

AC=BE(by CPCT)