MathDB

BMT 2020 Fall - Geometry Tiebreaker 3

Source:

December 30, 2021

geometry

Problem Statement

In unit cube

ABCDEFGH

(with faces

ABCD

,

EFGH

and connecting vertices labeled so that

\overline{AE}

,

\overline{BF}

,

\overline{CG}

,

\overline{DH}

are edges of the cube),

L

is the midpoint of

GH

. The area of

\vartriangle CAL

can be written in the form

\frac{m}{n}

, where

m

and

n

are relatively prime positive integers. Compute

m + n

.

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