From a point interior to an equilateral triangle $$\(T\)$$, perpendiculars drawn to the sides of $$\(T\)$$ have lengths of 1,4 , and 7 . How long is each side of $$\(T\)$$ ?

A.
8
B.
\(4 \sqrt{3}\)
C.
12
D.
\(8 \sqrt{3}\)
Mathematics
Competition
Math League
Exam No:2016 First Round Grades 10-12 Year:2016 Question No:15

Answer:

D

Knowledge points:

G10-12 - Geometry - Advanced Triangle Properties (Angle Bisector, Viviani's)

Solution:

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