Question

Find the indicated measure.

Answer 1

Answer:

BC = 54

Step-by-step explanation:

Don't get caught on this question. There really is enough information.

The vertical line through D can be shown to be a perpendicular bisector of AC.

That means AB = BC

6x = 9x - 27                Add 27 to both sides

6x + 27 = 9x               Subtract 6x from both sides

27 = 9x - 6x

27 = 3x                       Divide by 3

27/3 = x

x = 9

There are two ways to find BC.

1) Find AB

AB = 6 * 9 = 54

2) Find BC

BC = 9x - 27

BC = 9*9 - 27

BC = 81 - 27

BC = 54

Good thing to remember for a test. Remember that BD is the perpendicular bisector of AC. Both segments making up AC are equal.