Find the area of the pentagon shown in Figure, if `A D=10 c m ,\ A G=8c m ,\ A H=6c m ,\ A F=5c m ,\ B F=5c m ,\ C G=7c m\ a n d\ E H=3c mdot`

Find the area of the following polygon, if A L=10 c m , A M=20 c m , A N=50 c m , A O=60 c m a n d A D=90 c mdot Figure

The dimensions of the field shown in the given figure are A C=150 m , A H=120 m , (b) A G=80 m , A F=50 m , (c) E F=30 m , G B=50 m , (d) H D=20 c m The area of this field is (a) 6500 m2 (b) 6550 m2 (c) 6600 m2 (d) 6650 m2

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=5c m , A C=10 c m , B D=1. 5 c m and C D=3. 5 c m (ii) A B=4c m , A C=6c m , B D=1. 6 c m and C D=2. 4 c m (iii) A B=8c m , A C=24 c m , B D=6c m and B C=24 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 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

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 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 a A B C , A D is the bisector of /_A , meeting side B C at D . If B D=2. 5 c m , A B=5c m and A C=4. 2 c m , find D C . (ii) If B D=2c m , A B=5c m and D C=3c m , find A C . (iii) If A B=3. 5 c m , A C=4. 2 c m and D C=2. 8 c m , find B D .

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

Calculate the area of the quadrilateral A B C D as shown in Fig.33, given that B D=42\ c m , A C=28\ c m , O D=12\ c m and A C_|_B D .