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9 September, 01:57

Angle a equals 8X - 2, angle B equals 2X - 8 angle C equals 94 minus 4X list of the sides of triangle ABC in order from shortest to longest

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  1. 9 September, 04:14
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    Order of sides (shortest to longest):

    CA < AB < BC

    Step-by-step explanation:

    Given that,

    ∠A = 8x - 2

    ∠B = 2x - 8

    ∠C = 94 - 4x

    We know that, sum of three angles in a triangle is 180

    So, ∠A + ∠B + ∠C = 180

    8x - 2 + 2x - 8 + 94 - 4x = 180

    x = 16.

    ∠A = 126°

    ∠B = 24°

    ∠C = 30°

    Here we know the measure of angles, largest angle's opposite side is longest.

    It means ∠A is largest angle and opposite side of ∠A is BC.

    Second largest angle is ∠C, and opposite side of ∠C is AB.

    Order of side (shortest to longest) is:

    CA < AB < BC.

    That's the final answer.
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