MathDB

2017 Guts #2: Perimeter of triangle in circle

Source:

February 21, 2017

geometryperimeter

Problem Statement

Let

A

,

B

,

C

,

D

,

E

,

F

be

6

points on a circle in that order. Let

X

be the intersection of

AD

and

BE

,

Y

is the intersection of

AD

and

CF

, and

Z

is the intersection of

CF

and

BE

.

X

lies on segments

BZ

and

AY

and

Y

lies on segment

CZ

. Given that

AX = 3

,

BX = 2

,

CY = 4

,

DY = 10

,

EZ = 16

, and

FZ = 12

, find the perimeter of triangle

XYZ

.

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