Triangle DEF has coordinates D(1,1). E(1,5), and F(5.1). Triangle D'EF is the image of ADEF by a dilation with center (0.0) and
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Answer:
<u>According to theorem, in a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : √3</u>.
- 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.
<u>On using Pythagorean property</u>,
p² + b² = h²
- 1² + b² = 2²
- b² = 2² - 1²
- b² = 4 - 1
- b² = 3
- b = √3
<u>Note</u>: See picture attached.
