In Fig. 4.104, if `B D_|_A C` and `C E_|_A B` , prove that (FIGURE) ` A E C A D B` (ii) `(C A)/(A B)=(C E)/(D B)`

In Figure, if B D_|_A C and C E_|_A B , prove that (i) /_\A E C ~ /_\A D B (ii) (C A)/(A B)=(C E)/(D B)

In Fig. 4.145, if A B_|_B C , D C_|_B C and D E_|_A C , prove that C E D ∼ A B C . (FIGURE)

In Fig. if A B_|_B C and D E_|_A C . Prove that A B C ~ A E D

In A B C , if B D_|_A C and B C^2=2\ A C C D , then prove that A B=A C .

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

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

In Fig. 4.101, A D and C E are two altitudes of A B C . Prove that A E F ~ C D F (ii) A B D ~ C B E

In Fig. 4.244, if /_A D E=/_A B C , then C E= (FIGURE) (a) 2 (b) 5 (c) 9//2 (d) 3

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

In Figure, /_A C B=90dot and C D_|_A B . Prove that (C B^2)/(C A^2)=(B D)/(A D)