Question

If abcdef is a hexagon
Prove that AB+CD+EF=BC+DE+AF

Answer 1

Explanation:

given:hexagon abcdef

to prove:ab+cd+ef=bc+de+af

proof:

am=ar (tangent from point A)

bm+bn

co+no

od+dp

eq+pe

qf+fr

add(1)(2)(3(4)(5)(6)

am+bm+co+od+eq+qf+=bn+no+dp+pe+qf+fr

ab+cd+ef=bc+de+af

hence proved