Question

Given: Circumscribed polygon ABCD AB=21, BC=24, CD=30 Find: AD AD = ____ units

Answer 1

Answer:

AD = 27 units

Step-by-step explanation:

In the above question, we have a circumscribed Polygon, were circle XYZ is inside the polygon ABCD

We were given the following side

AB=21 units

BC=24 units

CD=30 units

Side AB = AW + BW

21 units = x + 21 - x

Side BC = BX + CX

BX = BW , hence BX = 21 - x

Side BC = 21 units

24 = 21 - x + CX

CX = 24 - (21 - x)

CX = 24 - 21 + x

CX = 3 + x

Side CD = CY + DY

Note that: CY = CX, hence, CY = 3 + x

Side CD = 30 units

30 = 3 + x + DY

DY = 30 - (3 + x)

DY = 30 - 3 - x

DY = 27 - x

Side AD = AZ + DZ

Note also that:

AZ = AW , hence AZ = x

DY = DZ , hence DZ = 27 - x

Side AD = x + 27 - x

Side AD = 27 units