A quadrilateral ABCD is inscribed in a circle. The sides AB and DC are extended to meet at point M outside the circle with BM = 9 cm, MC = 12 cm and MD = 30 cm. What is the value of side AB of quadrilateral ABCD?

A quadrilateral ABCD is inscribed in a circle. The sides AB and DC are extended to meet at point M outside the circle with BM = 9 cm, MC = 12 cm and MD = 30 cm. What is the value of side AB of quadrilateral ABCD? Correct Answer 31 cm

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How far is point 'R' from Point 'T'? Statement (I): Point 'R' is 5 metres to the north of point 'M'. Point 'U' is 4 metres to the east of point 'R'. Point 'T' is to the west of point 'R' such that points 'U' 'R' and 'T' form a straight line of  metres. Statement (II): Point 'Z' is metres to the south of point 'T'. Point 'U' is  metres to the east of point 'T'. Point 'M' is  metres to the east of point 'Z'. Point 'R' is  metres to the north of point 'M'. Point 'R' lies on the line formed by joining points 'T' and 'U'.