Points , , and lie on a circle. Given that and , arrange the chords , , and in…

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Points

A

B

, and

C

lie on a circle. Given that

\angle ABC = 40^\circ

and

\angle BCA = 60^\circ

, arrange the chords

AB

BC

, and

AC

in decreasing order of length. (a)

AB > AC > BC

(b)

BC > AB > AC

(c)

AC > BC > AB

(d)

AB > BC > AC