If the area of the right-angled triangle is 24cm² and the perimeter is 24 cm find its sides

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If the area of the right-angled triangle is 24cm² and the perimeter is 24 cm find its sides

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Sophia 1 month 2021-08-23T04:27:14+00:00 1 Answer 0 views 0

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    2021-08-23T04:28:39+00:00

    Answer:

    Step-by-step explanation:a + b + 10 = 24


    ⇒ a + b = 14 …(1)


    Also, a + b = (10)


    ⇒ a + b = 100 …(2)


    We know that


    (a + b) = a + b + 2ab


    ⇒ (14) = 100 + lab


    ⇒ 2ab = 96


    ⇒ ab = 48 …(3)


    Also, (a – b) = a + b – 2ab


    = 100 – 2 x 48 = 100 – 9b


    = 4 | if a > b


    ⇒ a – b = 2 ….(4)


    Solving (1) and (4), we get a = 8 cm b = 6 cm


    Even if the area is given then, 1/2*b*h=24


                                                    b*h= 48

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