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Grade 8

Two circles, one line

An 8 cm circle and a 12 cm circle perch on the same straight line, touching each other. The gap between their footprints is not what it looks like -- the right triangle through the centres does the measuring.

  1. 1

    Find x

    8 cm12 cmx
    Two circles rest on the same straight line -- the smaller with radius 88 cm, the larger with radius 1212 cm -- and the two circles touch each other. Find xx: the distance along the line between the two points where the circles touch it.