The sides of certain triangles are given below. Determine which of them are right triangles. `(i) 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`

The sides of certain triangles are given below. Determine which of them are right triangles: (i) a=6c m , b=8c m and c=10 c m (ii) a=5c m , b=8c m and c=11 c m .

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

The sides of a triangle are 7\ c m ,\ 9\ c m\ a n d\ 14\ c mdot Its area is (a) 12sqrt(5)\ c m^2 (b) 12sqrt(3)\ c m^2 (c) 24sqrt(5)\ c m^2 (d) 63\ c m^2

The sides of a triangle are 16 c m ,\ 30 c m\ a n d\ 34 c mdot Its area is (a) 225\ c m^2 (b) 240\ c m^2 (c) 225\ sqrt(2\ )\ c m^2 (d) 450\ c m^2

Determine whether the triangle having sides (a-1)c m ,2sqrt(a)c m and (a+1)c m is a right angled triangle.

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

Find the area of the quadrilateral A B C D , in which A B=7c m ,B C=6c m ,C D=12 c m ,D A=15 c ma n dA C=9c m

Construct a triangle A B C such that B C=6c m ,\ A B=6\ c m\ and median A D=4c mdot

Find the area of the quadrilateral A B C D , in which A B=7c m ,\ B C=6c m ,\ C D=12\ c m ,\ D A=15 c m\ a n d\ A C=9\ c mdot

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 .