5.6 cm and 3.2cm of hexagon
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AB=3.2 cm, BC = 5.2cm, CD = 6.2cm, DA = 4.2cm and BD = 5.2 cm ... Base BC=5.6cm, diagonal BD= 6.5 cm and altitude=3.2cm. ... (iv) Join AB, BC, CD, DE, EF and FA to get required regular hexagon ...
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Steps of Construction:
i) Draw a line segment AB = 5.8 cm
ii) At A and B, draw rays making an angle of 120o each and cut off AF = BC = 5.8 cm
iii) Again F and C, draw rays making an angle of 120o each and cut off FE = CD = 5.8 cm.
iv) Join DE. Then ABCDEF is the regular hexagon.
v) Draw the bisectors of ∠A and ∠B intersecting each other at O. vi) From O, draw OL ⊥ AB
vii) With centre O and radius OL, draw a circle which touches the sides of the hexagon. This is the required in circle of the hexagon.
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