We calculate the degree measure of the angle B = 180 – A – C = 180 – 60 – 90 = 30.
According to the theorem, in a right-angled triangle, the side opposite to an angle of 30 degrees is equal to half the hypotenuse. That is, AC = 0.5 * AB.
According to the condition AB + AC = 1.8, we substitute the found expression AC = 0.5 * AB into the equation and solve it:
AB + 0.5 * AB = 1.8;
1.5 * AB = 1.8;
AB = 1.8 / 1.5;
AB = 1.2.
Answer: AB = 1.2.
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