MathDB

2018 JHMT Geometry #2

Source:

September 5, 2023

geometry

Problem Statement

Two parallel chords

c, d

in a circle have lengths

10

and

14

respectively, and the distance between them is

6

. If the length of the chord that is equidistant from

c

and

d

and parallel to

c

and

d

x

, find

x^2