` A B C` is such that `A B=3c m` , `B C=2c m` and `C A=2. 5 c m` . If ` D E F ~ A B C` and `E F=4c m` , then perimeter of ` D E F` is (a) `7. 5 c m` (b) `15 c m` (c) `22. 5 c m` (d) `30 c m` .

A B C D E F , a r( A B C)=9c m^2 , a r( D E F)=16 c m^2 . If B C=2. 1 c m , then the measure of E F is 2. 8 c m (b) 4. 2 c m (c) 2. 5 c m (d) 4. 1 c m

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

A B C D E F . If B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)= 108 c m^2 (b) 96 c m^2 (c) 48 c m^2 (d) 100 c m^2

In A B C and D E F , it is being given that: A B=5c m , B C=4c m and C A=4. 2 c m ; D E=10 c m , E F=8c m and F D=8. 4 c m . If A L_|_B C and D M_|_E F , find A L : D 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=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

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 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 , 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 a A B C , A D is the bisector of /_B A C . If A B=8c m , B D=6c m and D C=3c m . Find A C 4c m (b) 6c m (c) 3c m (d) 8c 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