Question

Draw a regular pentagon of sides 5 cm. Draw a triangle same area. Find its area also

Answer 1

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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