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Mathematics 23 Online
OpenStudy (highschoolmom2010):

determine whether a tangent line to the circle is shown in the diagram.

OpenStudy (highschoolmom2010):

ganeshie8 (ganeshie8):

hint : tangent and radius intersect at 90 degrees

ganeshie8 (ganeshie8):

So, if OAB is a right triangle, then AB is a tangent

ganeshie8 (ganeshie8):

knw how to check whether OAB is a right triangle or not ?

OpenStudy (highschoolmom2010):

my teacher said i was wrong.......

ganeshie8 (ganeshie8):

you have attached same pic two times i see the same question in both pics ?

ganeshie8 (ganeshie8):

again, this attachment doesnt match with the original problem :/

OpenStudy (highschoolmom2010):

-_- embarassed face

OpenStudy (highschoolmom2010):

ganeshie8 (ganeshie8):

you're right about the conclusion that it is not a tangent

ganeshie8 (ganeshie8):

but you're wrong in saying that the angle is LESS THAN 90

ganeshie8 (ganeshie8):

a^2 + b^2 < c^2 gives an obtuse triangle, so the angle will be greater than 90

OpenStudy (highschoolmom2010):

would since the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides, then the triangle is obtuse. for it to be a tangent it must form a right triangle with the circle. be accepted as an answer?

ganeshie8 (ganeshie8):

looks good !b

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