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Chapter 10: Q6. (page 389)

Use a ruler and a protractor to draw a regular pentagon. Then construct the perpendicular bisectors to the five sides.

Short Answer

Expert verified

All the interior angles of a regular pentagone of 108° and it has five equal sides.

Step by step solution

01

Step 1. Given information:

All the interior angles of a regular pentagone of 108° and it has five equal sides.

02

Step 2. Concept used.

Centroid and median relation of a triangle.

03

Step 3. applying the concept.

Draw a pentagon ABCDE with equal sides and interior angles of 108°

At each side draw a perpendicular bisector inwardly with a compass by taking same lengths and mark bisecting points on both sides.

All the perpendicular bisectors of the regular pentagon meet at a point inside the pentagon.

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