MathDB

Real lengths?

Source: 2022 Nigerian Senior MO Round 2/Problem 3

May 6, 2022

geometrycomplex numbersimaginary triangle

Problem Statement

In triangle

ABC

,

AD

and

AE

trisect

\angle BAC

. The lengths of

BD, DE

and

EC

are

1, 3

and

5

respectively. Find the length of

AC

.

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