Two spherical balls lie on the ground touching ,if one ball has a radius of 8 units and the point of contact is 10 units above the ground what is the radius of the other ball?

let the radius of other circle be BO = x cm

AO = 8 cm. and the point of contact of two circles be O, such that OQ = 10 cm

triangle OPA and triangle BEA are similar triangles.

therefore

therefore

thus the radius of the other circle is 40/3 cm.

hope this helps you.

cheers!!

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