BC = BE + EC = 21 + 21 = 42 units
Step-by-step explanation:
We have, BE = 8x -11 & EC = 13x - 31 where E is the mid point in Line BC . Since , E is the mid point so BE = EC
⇒[tex]8x - 11 = 13x - 31[/tex]
⇒ [tex]5x = 20[/tex]
⇒ [tex]x = 4[/tex]
Now, BC is sum of BE & EC , i.e. BC = BE + EC
BE = 8x - 11 = 32-11= 21 units
EC = 13x - 31 = 21 units
∴ BC = BE + EC = 21 + 21 = 42 units
