2 years ago

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

Mathematics

1 answer:

fiasKO [112]2 years ago

4 0

Answer:

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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The pictorial representation of the problem is attached herewith.

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