$\Delta ABC$  is an isosceles triangle in which  $\angle C=90\degree$  . If AC =6 cm, AB= 

• 6 $\sqrt{2}$  cm

• 6 cm

• 2 $\sqrt{6}$  cm 

• 4 $\sqrt{2}$  cm

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

• 11.3cm

• 2.5 cm

• 3.5 cm

• 1.2 cm

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

• 16cm

• 12cm

• 8cm

• 4 cm

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

• 12cm

• 8cm

• 8 $\sqrt{2}$  cm

• 12 $\sqrt{2}$  cm

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

• BC=CY

• BC=BY

• BC $\ne$  CY

• BC $\ne$  BY

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

• 9 CM

• 10 cm

• 6 cm

• 8 cm

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.

• 45 m

• 60 m

• 65 m

• 37 m

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

• 20 cm

• 22 cm

• 18 cm

• 24 cm

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=  

• 2 cm

• 4 cm

• 6 cm

• 8 cm

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

• 2 $\sqrt{3}$ m

• 4 $\sqrt{3}$ m

• 2.5 cm

• 4m