Geometry Practice Test 5

Question : 14 of 40

Marks: +1, -0

If the radius of two circles be 6 cm and 3 cm and the length of the transverse common tangent be 8 cm, then the distance between the two centers is:

Solution:

r_1

= 6 cm

r_2

= 3 cm
d = x cm
Length of transverse common tangent = 8 cm
l =

√{d^2-(6+3)^2}

8 =

√{d^2-(9)^2}

64 =

d^2-81

√{64+81}

= d
d =

√{145}

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