1.

Draw a circle and a triangle with one vertex at the centre of the circle and the other two on the circle. Draw another triangle of the same areawith all three vertices on the circle.​

Answer»

Let AB=4cmAC=6cmBC=8cmLet the radius of circle 1 (AP) be x. AP=AQ=x. ⇒BP=4−x and QC=6−xAs QC and RC are radius of same circle, there RC=QC=6−x.RC+BR=8⇒BR=8−(6−x)=x+2As BP and BR are radius of same circle, THEREFORE 4−x=x+2⇒x=1Radius of 1ST circle =x=1cmRadius of 2nd circle =4−x=3cmRadius of 3rd circle =6−x=5cmSum of all radii =9cm.



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