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Two circles intersect at A and B. A common external tangent is tangent to the circles at T and U, as shown. Let M be the intersection of line AB and TU. If AB = 9 and BM = 3, find TU.

 

 

 Mar 8, 2020
 #1
avatar+18922 
+2

Looking at only the left circle:  MB · MA  =  MT · MT

--->                                             3  ·  12   =  MT2

                                                           36  =  MT2

Therefore,  MT  =  6

Similarly, for the right triangle:  MU  =  6

Finally:  TU  =  12 

 Mar 8, 2020
 #2
avatar+24388 
+3

Two circles intersect at A and B.

A common external tangent is tangent to the circles at T and U, as shown.

Let M be the intersection of line AB and TU. If AB = 9 and BM = 3, find TU.

 

answer see: https://web2.0calc.com/questions/welp-number-3

 

laugh

 Mar 9, 2020

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