5. Five marks exercise problems - II

1. A circle is inscribed in \(\Delta ABC\) having sides \(8 \ cm\), \(10 \ cm\) and \(12 \ cm\) as shown in figure. Find \(AD\), \(BE\) and \(CF\).

 

 

Answer:

 

\(AD =\)  \(cm\)

 

\(BE =\)  \(cm\)

 

\(CF =\)  \(cm\)

 

 

2. In figure, \(O\) is the centre of the circle with radius \(5 \ cm\). \(T\) is a point such that \(OT = 13 \ cm\) and \(OT\) intersects the circle \(E\), if \(AB\) is the tangent to the circle at \(E\), find the length of \(AB\).

 

Answer:

 

The length of \(AB\) \(=\) $\frac{i}{i}$ \(cm\)

 

3. \(\Delta LMN\) is a right angled triangle with \(\angle L = 90^\circ\). A circle is inscribed on it. The lengths of the sides containing the right angle are \(6 \ cm\) and \(8 \ cm\). Find the radius of the circle.