The lengths of sides of a triangle are in the ratio 3: 4: 5 and its perimeter is 120 cm, find its area.

Question

The lengths of sides of a triangle are in the ratio 3: 4: 5 and its perimeter is 120 cm, find its area.

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Harper 1 day 2021-11-25T03:57:50+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-25T03:58:52+00:00

    3x + 4x + 5x = 120

    12x = 120

    x = 10

    so 3x = 30

    4x = 40

    5x = 50

    so the sides are 30cm, 40cm, and 50cm

    a = 30, b = 40, c = 50

    s = ½p = 60

    by Heron’s formula,

    area = √[s(s-a)(s-b)(s-c)]

    = √[60(60-30)(60-40)(60-50)]

    = √[60*30*20*10]

    = √360000

    = 600

    therefore the area of the triangle is 600cm²

    0
    2021-11-25T03:59:29+00:00

    Answer:

    hope its helps u

    And please make me brainlist

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