self Maths Puzzle

The perimeter of two similar triangles ABC and PQR are 36cm and 24cm respectively. If PQ=10cm, then AB is

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self Other Question

If alpha is a positive acute angle and 2sin alpha+15cos^2alpha=7,then the value of cot alpha is P is a point outside a circle and is 13cm away from its centre. A secant drawn from the point P intersects the circle at points A and B in such a way that PA=9cm and AB=7cm. the radius of the circle is