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22 June, 14:41

Find d and the measure of each side of equilateral triangle KLM if KL=d+2, LM=12-d, and KM=4d-13

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  1. 22 June, 15:05
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    all sides are 7 units

    Step-by-step explanation:

    Since the triangle is equilateral then all 3 sides are equal in length

    equate any 2 sides and solve for d

    KL = LM

    d + 2 = 12 - d (add d to both sides)

    2d + 2 = 12 (subtract 2 from both sides)

    2d = 10 (divide both sides by 2)

    d = 5

    KL = d + 2 = 5 + 2 = 7

    LM = 12 - d = 12 - 5 = 7

    KM = 4d - 13 = (4 * 5) - 13 = 20 - 13 = 7
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