CBSE Class 8 Mathematics Question 1 of 9

Exploring Some Geometric Themes — Question 1

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1
Question
Draw the initial few steps (at least till Step 2) of the shape sequence that leads to the Sierpinski Triangle.
Answer

Step 0: Take cut out of an equilateral triangle Δ. Step 1: Divide it into 4 equilateral triangles by joining the midpoints of each of the sides. Remove the central triangle. Step 2: Divide each of the remaining 3 equilateral triangles into four equilateral triangles and remove the central triangle in each of them. Step 3: Repeat the steps again and again to get Sierpinski’s gasket.