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A diamond is in the form of a sqaure based pyramid ABCDT as shown in the diagram below. S is the centre of the square

A diamond is in the form of a sqaure based pyramid ABCDT as shown in the diagram below. S is the centre of the square base ABCD and U is the mid point of BC. The height TS=2mm and AB = CD= DA =3MM. Show that the height, TU, of triangular face BCT is 2.5mm

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