In a` A B C ,\ A D` is the altitude from `A` such that `A D` = 12 cm. `B D` = 9 cm and `D C` = 16 cm. Examine if` A B C` is right angled at `A` .

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A A B C such that the altitude A D from A on the opposite side B C bisects B C i.e., B D=D Cdot TO PROVE : A B=A C i.e. the triangle A B C is isosceles.

In Figure, B D and C E are two altitudes of a A B C such that B D=C Edot Prove that A B C is isosceles. Figure

In Fig.42, A B C D is a parallelogram in which A D=21\ c m , D H=18\ c m and D K=27\ c mdot The length of side A B is 63 cm (b) 63.5 cm 31.5 cm (d) 31 cm

In a A B C , perpendicular A D from A on B C meets B C at D . If B D=8c m , D C=2c m and A D=4c m , then A B C is isosceles (b) A B C is equilateral (c) A C=2 A B (d) A B C is right-angled at A .

In A B C ,/_A=90^0a n dA D is an altitude. Complete the relation (B D)/(D A)=(A B)/(()) .

In Fig.42, A B C D is a parallelogram in which A D=21\ c m ,\ D H=18\ c m and D K=27\ c mdot The perimeter of the parallelogram is 105 cm (b) 84.5 cm 169 cm (d) 52.5 cm

In a right-angled triangle ABC, D is the foot of the perpendicular from B on the hypotenuse AC. If AB = 3 cm and BC = 4 cm, what is the area of /_\ABD ? (a) 54 cm (b) 54/29 cm (c) 54/23 cm (d) None of these

If A B C D E F such that D E=3c m , E F=2c m , D F=2. 5 c m , B C=4c m , then perimeter of A B C is (a) 18cm (b) 20cm (c) 12cm (d) 15cm

In a A B C , D a n d E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=12 c m , A D=8 c m , A E=12 c m a n d A C=18 c m . (ii) A B=5. 6 c m , A D=1. 4 c m , A C=7. 2 c m a n d A E=1. 8 cm