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28 June, 23:48

The perimeter of a triangle shown is 20 inches write an expression for the perimeter then write an equation that you can use to find the length of each side

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  1. 29 June, 00:16
    0
    Assuming the triangle is an equilateral triangle (all sides and angles are equal), the equation 3x = 20 would be used to find the length of each side.

    Step-by-step explanation:

    Formula for perimeter of triangle:

    P = a + b + c

    where a, b and c are the sides of the triangle.

    Assuming the triangle is equilateral, all sides would be equal,

    a = b = c = x

    ⇒ P = x + x + x

    ∴ 20 = 3x.
  2. 29 June, 01:31
    0
    A + B + C = 20 in

    A² = B² + C² - 2·B·C·cos (α)

    B² = C² + A² - 2·A·C·cos (β)

    C² = A² + B² - 2·A·B·cos (γ)

    Step-by-step explanation:

    The expression for the perimeter of a triangle with sides A, B, C is

    Perimeter of triangle = A + B + C = 20 inches

    A² = B² + C² - 2·B·C·cos (α)

    B² = C² + A² - 2·A·C·cos (β)

    C² = A² + B² - 2·A·B·cos (γ)

    Where, angle α is the angle opposite of side A

    angle β is the angle opposite of side B

    angle γ is the angle opposite of side C.
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