Mathematical Modeling Questions for Secondary School Curriculum | Page 17

Spiral of equilateral triangles

Author : Mihaela Git
This is a spiral formed by equilateral triangles . Each equilateral triangle , starting with the second , has the side equal to the height of the previous triangle .
ABC is equilateral triangle and A ( 1 ; 1 ), B ( 4 ; 1 ). AD⊥ BC , D∊BC , ADE equilateral triangle , etc .
a )
Determine the equation for the line BC .
b )
Determine the equation for the line AC .
c )
Find the coordinate for the point C .
d )
Determine the equilateral triangle height equation that passes through A .
e )
Calculates the area of the ABC triangle .
f )
Determine the equation for the line AE .
g )
What is the position of the line AH and AB ?
h )
Calculates the area of the ADE triangle .
Related Topics and Concepts : Areas , Analytical geometry : the equations of a line Real Life Context : Art