In ` P Q R` , `M` and `N` are points on sides `P Q` and `P R` respectively such that `P M=15 c m` and `N R=8c m` . If `P Q=25 c m` and `P R=20 c m` state whether `M N Q R` .

In /_\ P Q R , M and N are points on sides P Q and P R respectively such that P M=15 c m and N R=8c m . If P Q=25 c m and P R=20 c m state whether M N || Q R .

In A B C , P and Q are points on sides A B and A C respectively such that P Q ||B C . If A P=3c m , P B=5c m and A C=8c m , find A Q .

In Fig. 4.238, S and T are points on the sides P Q and P R respectively of P Q R such that P T=2c m , T R=4c m and S T is parallel to Q R . Find the ratio of the areas of P S T and P Q R . (FIGURE)

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q// B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

In Figure, S and T are points on the sides P Q and P R respectively of /_\ P Q R such that P T=2c m , T R=4c m and S T is parallel to Q R . Find the ratio of the areas of /_\P S T and /_\P Q R .

In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot

In Delta P Q R , if P Q=Q R and L ,M and N are the mid-points of the sides P Q ,Q R and R P respectively. Prove that L N=M Ndot

M and N are points on the sides P Q and P R respectively of a P Q R . For each of the following cases, state whether M N Q R : P M=4c m ,\ \ Q M=4. 5 c m ,\ \ P N=4c m ,\ \ N R=4. 5 c m (ii) P Q=1. 28 c m ,\ \ P R=2. 56 c m ,\ \ P M=0. 16 c m , P N=0. 32 c m

M and N are points on the sides P Q and P R respectively of a P Q R . For each of the following cases, state whether MN||QR : (i) P M=4c m ,\ \ Q M=4. 5 c m ,\ \ P N=4c m ,\ \ N R=4. 5 c m (ii) P Q=1. 28 c m ,\ \ P R=2. 56 c m ,\ \ P M=0. 16 c m , P N=0. 32 c m