In Fig.9.28, `A P"\ "||"\ "B Q"\ "||"\ "C R` . Prove that `a r"\ "(A Q C)"\ "="\ "a r"\ "(P B R)dot`

In Figure, A P || B Q\ || C R . Prove that a r\ ( A Q C)=\ a r\ (P B R)

In Fig. 9.32, ABCD is a parallelogram and BC is produced to a point Q such that A D" "=" "C Q . If AQ intersect DC at P, show that a r" "(B P C)" "=" "a r" "(D P Q)dot

In Fig. 9.32, ABCD is a parallelogram and BC is produced to a point Q such that A D\ =\ C Q . If AQ intersect DC at P, show that a r\ (B P C)\ =\ a r\ (D P Q)dot

In Figure P Q || C D and P R || C B. Prove that ( A Q)/(Q D)=(A R)/(R B)dot

In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A Q)/(A B) (ii) (Q B)/(A Q)=(D R)/(A R) .

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ ( P B Q)=\ a r\ (\ A R C)

In A A B C ,\ P\ a n d\ Q are respectively the mid-points of A B\ a n d\ B C and R is the mid-point of A Pdot Prove that: a r\ (\ P R Q)=1/2a r\ (\ A R C)

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

In Fig. 6.15, /_P Q R=/_P R Q , then prove that /_P Q S=/_P R T .

If Delta A B C ~ Delta P Q R such that a r( A B C)=4a r( P Q R)dot If B C=12 c m , then Q R=