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Three circles are drawn within triangle ABC such that no two

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by AAPL » Sat Dec 15, 2018 4:44 am

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Veritas Prep

Three circles are drawn within triangle ABC such that no two circles overlap and that each is tangent to one another and to the triangle in at least one place. What is their combined area?

1) The radius of one of the circles is 4.
2) Triangle ABC is equilateral.

OA E.
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Source: — Data Sufficiency |

by fskilnik@GMATH » Sun Dec 16, 2018 5:09 am
AAPL wrote:Veritas Prep

Three circles are drawn within triangle ABC such that no two circles overlap and that each is tangent to one another and to the triangle in at least one place. What is their combined area?

1) The radius of one of the circles is 4.
2) Triangle ABC is equilateral.
Let´s go straight to (1+2) to PROVE the insufficiency through a GEOMETRIC BIFURCATION :

Image

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
Fabio Skilnik :: GMATH method creator ( Math for the GMAT)
English-speakers :: https://www.gmath.net
Portuguese-speakers :: https://www.gmath.com.br
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