draw the regular pentagon and then a triangle of the same area. calculate the area​

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draw the regular pentagon and then a triangle of the same area. calculate the area​

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Ivy 1 week 2021-09-10T11:00:52+00:00 2 Answers 0 views 0

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    0
    2021-09-10T11:02:21+00:00

    \huge\mathbb\red{QUESTION}

    Draw a regular pentagon and then a triangle of the same area. calculate the area.

    \huge\mathbb\red{ANSWER}

    Tan 36 = \frac{2}{h} (Where h = apothem) h = \frac{2}{Tan 36}

    \implies2.75. Area = (\frac{1}{2} x 4 x 2.75) x 5

    \implies27.53 {cm}^{2}.

    \sf\blue\bigstarA triangle of the same area ;

    Assume base of triangle = 4cm

    Area = \frac{1}{2}bh

    27.53 = \frac{1}{2}x 4 x h

    27.53 = 2h

    h = 13.8cm

    0
    2021-09-10T11:02:38+00:00

    QUESTION Draw a regular pentagon and then a triangle of the same area. calculate the area.

    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.

    hope it helps..

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