MathDB

George is drawing a Christmas tree; he starts with an isosceles triangle

AB_0C_0

with

AB_0=AC_0=41

and

B_0C_0=18

. Then, he draws points

B_i

and

C_i

on sides

AB_0

and

AC_0

, respectively, such that

B_iB_{i+1}=1

and

C_iC_{i+1}=1

(

B_{41}=C_{41}=A

). Finally, he uses a green crayon to color in triangles

B_iC_iC_{i+1}

for

i

from

0

40

. What is the total area that he colors in?

Problem Statement