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D is a point on the side BC of a triangle ABC such that angle ADC = angle BAC. Show that CA² = CB.CD.
A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
If AD and PM are medians of triangles ABC and PQR, respectively where triangle ABC ~ triangle PQR, prove that AB/PQ=AD/PM