Francisco finds a Web site that defines a regular hexagon as a "six-sided polygon with six congruent angles and six congruent si
1 answer:
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Answer:
The correct answers are Blue: square units
; Green:
square units; and Yes the sum converges.
Step-by-step explanation:
Area of the largest triangle is 1 square unit.
The area of the triangle which are colored and follow a geometric sequence with the common ratio being .
Area of the not shaded triangle is given by 1 square unit.
Area of the orange triangle is given by 1 × =
square units.
Area of the blue triangle is given by ×
=
square units.
Area of the green triangle is given by ×
=
square units.
If the pattern continues definitely then it becomes an infinite geometric progression series with common ratio . And thus the sum of area coverges as the ratio lies between -1 and 1.