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Answer:
? = 24, AB = 8.66 (square root of 75, 5 times the square root of 3)
Step-by-step explanation:
Since the whole length equals 27, we can subtract 3 to get 24. The proportion is a setup for geometric mean. This means cross-multiplying. X x X = X^2, 3 x 24 = 72. Square root both sides to get X by itself. [tex]3\sqrt{8} \\[/tex]. Use Pythagoreans to solve the rest. You are left with the square root of 75, or 5 times the square root of 3.