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

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