The lengths of the tangents drawn from the vertices and to the incircle of are 5, 3 and 2, respectively. If the lengths of the parts of tangents within the triangle which are drawn parallel to the sides and of the triangle to the incircle are and respectively, then the value the value of (where represents greatest integer function ) is __________ |

The lengths of the tangents drawn from the vertices and to the incircle of are 5, 3 and 2, respectively. If the lengths of the parts of tangents within the triangle which are drawn parallel to the sides and of the triangle to the incircle are and respectively, then the value the value of (where represents greatest integer function ) is __________ |

1 Answer

127 votes

**(6)**

Given

and ,and

Now length of tangent from to incircle = semiperimeter of

Similarly, and

127 votes

127