draw triangles of the same area and calculate
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Step-by-step explanation:Take a regular pentagon of side 4cm
Angle at centre = 360/5 = 72
Half the angle = 72/2 = 36
Tan 36 = 2/h (Where h = apothem)
h = 2/Tan 36
= 2.75
Area = (½ x 4 x 2.75) x 5
= 27.53 cm2
A triangle of the same area:
Assume base of triangle = 4cm
Area = 1/2bh
27.53 = ½ x 4 x h
27.53 = 2h
h = 13.8 cm
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