A triangle sheet whose side is 5cm,12cm,13cm. when we paint this sheet in the price of 30rs per sq meter

Question

A triangle sheet whose side is 5cm,12cm,13cm.
when we paint this sheet in the price of 30rs per sq meter

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Maria 4 weeks 2021-08-19T01:26:14+00:00 1 Answer 0 views 0

Answers ( )

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    2021-08-19T01:28:12+00:00

    Answer: 30 cm area

    900 rs is the cost

    Step-by-step explanation:

    sides of triangle = 5cm, 12cm, 13cm

    p = 5 + 12 + 13 = 30cm

    where 5cm = a

               12cm = b

               13cm = c

    s = p/2 = 30/2 = 15cm

    You are looking for area.

    use herons formula:

    => Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}

    => \sqrt{15(15-5)(15-12)(15-13) }

    =>\sqrt{15(10)(3)(2)}

    =>\sqrt{5 * 3 *5* 2 * 3 * 2}

    =>\sqrt{5^2 * 3^2 * 2^2}

    It root and squares cancel out

    = 5 x 3 x 2

    = 30 is the answer

    cost of painting sheet per sq meter = 30 rs

    => 30 x 30 = 900 rs

    Hope this helps!!!

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