In a right-angled triangle ABC, the angle of 90 degrees is leg AC = 6√3. Find the hypotenuse if angle A = 30.

according to the condition given: AC = 6√3 / a = 30 deg. then from triangle ABC: sin / a = AC / AB => AB = AC / sin / a AB = 6√3 / 1/2 = 6√3 * 2 = 12√3 (cm)
Answer: AB = 12√3 cm



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