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Let ABC be a triangle with Angle B = 90. Let AD be the bisector of Angle A with D on BC. Suppose AC = 6 cm and the area of the triangle ADC is 10 cm2. Then the length of BD in cm is equal to

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Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x ? Three circles each of radius 1, touch one another externally and they lie between two parallel lines. The minimum possible distance between the lines is