The document contains 6 math problems created by students about spirals formed by equilateral triangles. Each problem increases the side of the triangles in the spiral and requires calculating line equations and triangle areas. Additional art problems are listed focusing on spirals and symmetry.
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Maths and art in spirals i
1. Maths and Art in Spirals
10 C Grade
¡°Jean Monnet¡± High School
Bucharest
Teacher Mihaela Git
-2019-
4. Spiral formed with equilateral triangles
Each equilateral triangle, starting with the second, has the side as the high as the
previous one. A(0; 0), B(¨C6;0).
Tasks:
1. Find the equations for the lines:
AB, AM, AO, AS, AR, AT, AV.
2. Find the areas for: ¦¤ABC, ¦¤ADE,
¦¤AFG, ¦¤AHI, ¦¤AML, ¦¤CEF.
Alex C.
Problem 3
5. Spiral formed with equilateral triangles
Each equilateral triangle, starting with the second, has the side as the high as the
previous one. A(1; 1), B(4; 1).
Tasks:
1. Find the equations
for the lines: AB, AD,
AF, AH.
2. Calculates the exact
coordinates of point
D
3. Find the areas for:
¦¤ABD, ¦¤ADF, ¦¤AHF,
¦¤ABF, ¦¤DFH, ¦¤ABF.
Ovidiu
Problem 4