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If a circle can be drwan by touching the...

If a circle can be drwan by touching the sides of parallelogram inside it will be a rhombus. Prove.
. Draw the figure AP=AS,BP=BQ,DR=DS,CR=CQ. Using these equations prove the statements given as the 11th point in the basic concepts. `2xxAB = 2xxAD`

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If we can draw a circle, which touches four sides of a parrallellogram, then prove that the parallelogram is a rhombus.

If r is the radius of the in circle of a right triangle prove that r=(a+c-b)/2 BP=BQ=r ,AP=AR=c-r,CR=CQ=b-r,b =c-r+a-r.