In a  $\Delta$  ABC, AD is the bisector of  $\angle BAC$  . If AB=6 cm, AC=5 cm and BD=3 cm , then DC=

If  $\Delta ABC$  and  $\Delta DEF$  are similar such that 2 AB= DE and BC=8 cm, then EF=

The length of hypotenuse of an isosceles right triangle whose one side is 4 $\sqrt{2}$  cm is 

In a  $\Delta\ ABC$  , a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects  $\angle XYC$  , then

 $\Delta ABC$   $\sim$   $\Delta\ PQR$  , such that ar( $\Delta$  ABC)=4 ar( $\Delta PQR$  ).If BC= 12 cm, then QR=

A vertical stick 12 m long casts a shadow 8 m long on the ground.At the same time a tower casts the shadow 40m long on the ground. Determine the height of the tower.

In an isosceles triangle ABC, if AB=AC=25 cm and BC=14 cm, then the measure of altitude from A on BC is

XY is drawn parallel to the base BC of a $\Delta$  ABC cutting AB at X and AC at Y. If AB=4 BX and YC= 2cm , then AY=  

The altitude of an equilateral triangle of side 8 cm is _____

A flag pole 18 m high casts a shadow 9.6 cm long. The distance of the top of the pole from the far end of the shadow is

In a  $\Delta$  ABC, sides AB and AC are extended to D and E respectively., such that AB=BD and AC=CE. If BC=6cm , then DE= 

The length of the diagonals of a rhombus are 30 cm and 40 cm. Find the side of the rhombus.

 $\Delta$   ABC is such that AB= 3 cm , BC= 2 cm,  and CA= 2.5 cm. If  $\Delta$  DEF  $\sim$   $\Delta$  ABC and  EF= 4 cm, then perimeter of  $\Delta$  DEF is 

ABC is a right angled triangle right angled at A. A circle is inscribed in it. The lengths of the two sides containing the right angles are 6 cm and 8 cm. Find he radius of the circle.