Query about Question 20 from "PrepSwift Quant Tickbox Quiz #11 (Geometry Column 2)" [6636]

https://prepswift.gregmat.com/quizzes/quiz/prepswift-quant-tickbox-quiz-10-geometry-column-2 (Question 20)


I thought that a regular 9 sided polygon would have 9 equilateral triangles? but in this case the triangle shown is not equilateral. why can we divide the area of a regular polygon to get the area of this triangle?

Not really.

Equilateral means all laterals/sides are equal and that is true in an equilateral triangle where all internal angles are 60° hence all sides are equal.

Yes.

40-70-70 internal angle triangle so it cannot be equilateral.

Because there are nine 40-70-70 congruent/equal triangles.

Watch Area-of-other-regular-polygons