` A B C` is an isosceles triangle in which `/_C=90o` . If `A C=6c m` , then `A B=` `6sqrt(2)c m` (b) `6c m` (c) `2sqrt(6)c m` (d) `4sqrt(2)c m`

ABC is an isosceles triangle in which /_C=90o. If AC=6cm, then AB=6sqrt(2)cm(b)6cm(c)2sqrt(6)cm(d)4sqrt(2)cm

In Figure, if A P=10 c m , then B P= (a) sqrt(91)c m (b) sqrt(127)c m (c) sqrt(119)c m (d) sqrt(109)c m

The length of the hypotenuse of an isosceles right triangle whose one side is 4sqrt(2) cm is 12 c m (b) 8c m (c) 8sqrt(2)c m (d) 12sqrt(2)c m

In Figure, A P is a tangent to the circle with centre O such that O P=4c m and /_O P A=30^@ . Then, A P= (a) 2sqrt(2)c m (b) 2c m (c) 2sqrt(3)c m (d) 3sqrt(2)c m

Each side of an equilateral triangle is 8 cm. Its area is (a) 16sqrt(3)\ c m^2 (b) 32sqrt(3)\ c m^2 (c) 24sqrt(3)\ c m^2 (d) 8sqrt(3)\ c m^2

The height of an equilateral triangle is sqrt(6)\ c mdot Its area is (a) 3sqrt(3)\ c m^2 (b) 2sqrt(3)\ c m^2 (c) 2sqrt(2)\ c m^2 (d) 6sqrt(2)\ c m^2

The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length, is (a) sqrt(5)\ c m (b) 2sqrt(5)\ c m (c) 2\ sqrt(7)\ c m (d) sqrt(7)\ c m

In a A B C , /_A=90^o , A B=5c m and A C=12 c m . If A D_|_B C , then A D= (a) (13)/2c m (b) (60)/(13)c m (c) (13)/(60)c m (d) (2sqrt(15))/3c m

The area of a right isosceles triangle whose hypotenuse is 6sqrt(2)\ c m is (a) 12 c m^2 (b) 15 c m^2 12 c m^2 (d) 18 c m^2

X Y is drawn parallel to the base B C of a A B C cutting A B at X and A C at Y . If A B=4 B X and Y C=2c m , then A Y= 2c m (b) 4c m (c) 6c m (d) 8c m