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

The sides of certain triangle are given below. Determine which of them are right triangle: a =6cm,b=8cm and c=10cma=5cm,b=8cm and c=11cm.

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

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

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 .

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

The sides of a triangle are 50 c m ,\ 78 c m\ a n d\ 112 c mdot\ The smallest altitude is 20 c m\ (b) 30 c m\ (c) 40 c m\ (d) 50 c m\

The area of a right isosceles triangle whose hypotenuse is 16sqrt(2)\ c m is 125 c m^2 (b) 158 c m^2 128 c m^2 (d) 144 c m^2

In Fig. 4.60, check whether A D is the bisector of /_A of A B C in each of the following: (FIGURE) A B=6c m , A C=8c m , B D=1. 5 c m and C D=2c m (ii) A B=5c m , A C=12 c m , B D=2. 5 c m and B C=9c m

The sides of a triangle are 11 c m ,\ 15 c m\ a n d\ 16 c mdot\ The altitude to the largest side is 30\ sqrt(7)\ c m (b) (15sqrt(7))/2\ c m (c) (15\ sqrt(7))/4c m\ (d) 30\ c m

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 .