Question

If B is the midpoint of AC and AC=8x-20 find BC

Answer 1

we are given

B is the midpoint of AC

so,

`AB=BC`

`AC=AB+BC`

`AC=BC+BC`

`AC=2BC`

now, we are given

AC=8x-20

so, we can plug it

`8x-20=2BC`

we can divide both sides by 2

and we get

`BC=4x-10`.............Answer

Answer 2

We know that AC=8x-20 and B is the mid-point of AC

⇒ AB = BC =
`(AC)/(2)`

⇒ BC =
`(8x-20)/(2)`

⇒ BC = 4x-10