Question

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Answer 1

Answer:

According to theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : √3.

• Base – 1
• Hypotenuse – 2
• Perpendicular – √3

Side length of the hexagon is the base of the right triangle, so it is 1.

Let r is the radius of the incircle in a regular hexagon. 2r is the diameter of the incircle. It is also the hypotenuse of the right triangle. so, it is 2.

On using Pythagorean property,

p² + b² = h²

• 1² + b² = 2²
• b² = 2² - 1²
• b² = 4 - 1
• b² = 3
• b = √3

Note: See picture attached.

Answer 2

Answer:

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