Question

Find the value of BC. HELP PLEASE!!

Answer 1

All three sides are the same as indicated by the bars on them.
So
1/2x-2 =3/2x-12
x=10

Answer 2

It's an equilateral triangle, therefore

AB = BC = BA

We have the equation:

`(3)/(2)x-12=(1)/(2)x-2\qquad\text{multiply both sides by 2}\\\\3x-24=1x-4\qquad\text{add 24 to both sides}\\\\3x=x+20\qquad\text{subtract x from both sides}\\\\2x=20\qquad\text{divide both sides by 2}\\\\x=10`

`BC=BA\to BC=(1)/(2)(10)-2=5-2=3`

Answer: BC = 3