MathDB

2014 Geometry Tiebreaker #3

Source:

July 1, 2022

2014Geometry Tiebreaker

Problem Statement

Let

ABC

be a triangle and

I

its incenter. Suppose

AI=\sqrt{2}

,

BI=\sqrt{5}

,

CI=\sqrt{10}

and the inradius is

1

. Let

A'

be the reflection of

I

across

BC

,

B'

the reflection across

AC

, and

C'

the reflection across

AB

. Compute the area of triangle

A'B'C'

.

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