In which of the following cases can a right triangle `A B C` be constructed? `A B=5\ c m ,\ B C=7\ c m ,\ A C=10\ c m` `A B=7\ c m ,\ B C=8\ c m ,\ A C=12\ c m` `A B=8\ c m ,\ B C=17\ c m ,\ A C=15\ c m` None of these

In fig. 15 A B C D is a parallelogram C M_|_A B and B L_|_A Ddot If \ A B=16\ c m ,\ A D=12\ c m , C M=10\ c m ,\ find \ B L\ If \ A D=10 c m ,\ C M=8c m ,\ B L=12\ c m ,\ find A B .

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=10. 8 c m ,\ \ B D=4. 5\ c m ,\ \ A C=4. 8 c m\ a n d\ A E=2. 8 c m (ii) A D=5. 7 c m ,\ \ B D=9. 5 c m ,\ \ A E=3. 3 c m\ a n d\ E C=5. 5 c m .

In Figure, if A C is bisector fo /_B A D such that A B=3\ c m\ a n d\ A C=5\ c m , then C D= 2\ c m (b) 3\ c m (c) 4\ c m (d) 5\ c m

In a A B C , A D is the bisector of /_B A C . If A B=6c m , A C=5c m and B D=3c m , then D C= 11. 3 c m (b) 2. 5 c m (c) 3:5c m (d) None of these

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

In right triangle A B C , the lengths of the legs are given. Find the length of the hypotenuse. (i) a=6\ c m ,\ b=8\ c m\ (ii) a=8\ c m ,\ b=15\ c m (iii) a=3\ c m ,\ b=4\ c m (iv) a=2\ c m ,\ b=1. 5\ c m

Medians of A B C intersect at G . If a r\ ( A B C)=27\ c m^2, then a r\ ( A B G C)= 6\ c m^2 (b) 9\ c m^2 (c) 12\ c m^2 (d) 18 c m^2

In Figure, A B C D is a parallelogram. If A B=12\ c m ,\ \ A E=7. 5\ c m ,\ C F=15\ c m , then A D= 3 cm (b) 6 cm (c) 8 cm (d) 10.5 cm

Which of the following pairs of triangles are congruent? If they are congruent, write out the pairs of equal angles. A B C : A B=3c m , B C=4c m , C A=2 c m D E F : D E=2 c m , E F=3 c m a n d F D=4 c m P Q R : P Q=17 c m , Q R=15 c m , P R=18 c m D E F : D E=18 c m , E F=17 c m , D F=15 c m .

The sides of certain triangles are given below. Determine which of them are right triangles. a=7c m , b=24 c m and c=25 c m (ii) a=9c m , b=16 c m and c=18 c m (iii) a=1. 6 c m , b=3. 8 c m and c=4c m (iv) a=8c m , b=10 c m and c=6c m