`A B J H ,\ J D E F ,\ A C E G` are squares. `(B C)/(A B)=3` . `(A r e a\ B C D J)/(A r e a\ H J F G)=?` (FIGURE) `1/9` (b) `1/3` (c) `1` (d) `3`

D B U : E E Z : : C J H : ?

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)=

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)= 2:5 (b) 4: 25 (c) 4: 15 (d) 8: 125

In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prove that a r( A D E)=a r( B C F)

In Figure, A B C D ,\ A B F E\ a n d\ C D E F are parallelograms. Prove that a r( /_\A D E)=a r( /_\B C F)

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=3/4 , then write Area ( A B C): A r e a( D E F) .

In Fig. 4.128, D E F G is a square and /_B A C=90o . Prove that A G F D B G (ii) A G F E F C (FIGURE) (iii) D B G E F C (iv) D E^2=B DxxE C

In Figure, D E || A C and D F || A E . Prove that (E F)/(B F)=(E C)/(B E) .

If Delta A B C ~ Delta D E F such that B C=3c m , E F=4c m and a r( A B C)=54 c m^2 , then a r( D E F)=

In Fig. 4.102 (i) and (ii) , if C D and G H (D\ a n d\ H lie on A B and F E ) are respectively bisectors of /_A C B and /_E G F and A B C ~ F E G , prove that (FIGURE) D C A ~ H G F (ii) (C D)/(G H)=(A C)/(F G) (iii) D C B ~ H G E