circles with centres A,B and C touch each other externally. if AB = 3cm, BC = 3cm ,CA = 4 cm then find the radius of each circle.
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Answer.
AB = 2 cm , BC = 2 cm ,CA= 1 cm
Step by step.
AB =3 cm, BC = 3 cm, CA= 4 cm
AB = x + y = 3
BC = x + z = 3
CA = y + z = 4
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2( x+ y+ z) = 10
x+ y + z = 5
AB = x + y + z = 5
= 3 + z = 5
= z = 2
BC = x+ y + z =5
= y + 3 = 5
= y = 2
CA = x + y + z = 5
= x + 4 = 5
= x = 1
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