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Sin M = KL/KM
KL = √10
2x = √10
x = 1/2 √10
KM = 3x
KM = 3/2 √10 cm
LM² = KM² - KL²
LM² = (3/2 √10)² - (√10)²
LM² = 90/4 - 10
LM² = 50/4
LM² = 25.2/4
LM = √[25.2/4]
LM = 5/2 √2 cm