Question

AB is tangent to O. If AO=12 and BC=25 what is AB ? The diagram is not to scale.

A. 35
B. 37
C. 50
D. 47

Answer 1

the answer is A


AO = 12

BC= 25+ 12= 37
you can get help from Pythagoras theorem

`{37}^(2) = {12}^(2) + {x}^(2) \\ - {x}^(2) = {12}^(2) - {37}^(2) \\ - {x}^(2) = 144 - 1369 = - 1225 \\1225 = {x}^(2)`

`x = √(1225) = 35`


good luck