Question

If BE=8x-11, and EC=13x-31, find BC

Answer 1

BC = BE + EC = 21 + 21 = 42 units

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

⇒
`8x - 11 = 13x - 31`

⇒
`5x = 20`

⇒
`x = 4`

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