The center of square ABCD is O, the area is 1989cm2. P is a point in the square, and ∠ OPB = 45 °, PA: Pb = 5:14=______ ．

Connecting OA, ob, ∵ square, the center of ABCD is O, OPB = 45 °, OAB = ∵ OPB = 45 °, oba = 45 °, O, P, a, B four points are in a circle, ∵ APB = ∵ AOB = 180 ° - 45 ° - 45 ° = 90 ° in △ PAB, from Pythagorean theorem, pa2 + PB2 = AB2 = 1989, because PA: Pb = 5:14, let PA = 5x, Pb = 14x, (5x) 2 + (14x) 2 = 1989, the solution is: x = 3, ∵ Pb = 14x = 42. So the answer is: 42cm

The center of square ABCD is O, the area is 1989cm2. P is a point in the square, and ∠ OPB = 45 °, PA: Pb = 5:14=______ ．

The center of square ABCD is O, the area is 1989cm2. P is a point in the square, and ∠ OPB = 45 °, PA: Pb = 5:14=______ ．

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