In Figure, `T` is a point on side `Q R` of ` P Q R` and `S` is a point such that `R T=S Tdot` Prove That : `P Q+P R > Q S`

S and T are points on sides PR and QR of DeltaP Q R such that /_P=/_R T S . Show that DeltaR P Q ~DeltaR T S .

In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P >2P S

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 .

P Q R is a triangle is which P Q=P R\ a n d\ S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R\ at Tdot Prove that P S=P T

P Q R is a triangle in which P Q=P R and S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R at Tdot Prove that P S=P Tdot

In figure, if lines P Q and R S intersect at a point T such that P R T=40^0,/_R P T=95^0 and /_T S Q=75^0, find /_S Q Tdot Figure

P Q R S is a trapezium having P S\ a n d\ Q R as parallel sides. A is any point on P Q\ a n d\ B is a point on S R such that A B Q R . If area of P B Q is 17\ c m^2, find the area of \ A S R

P Q R S is a trapezium having P S\ a n d\ Q R as parallel sides. A is any point on P Q\ a n d\ B is a point on S R such that A B || Q R . If area of /_\P B Q is 17\ c m^2, find the area of \ /_\A S R

In Figure, if lines P Q\ a n d\ R S intersect at a point T such that /_P R T=40^@,\ /_R P T=95^@a n d\ /_T S Q=75^@, find /_S Q T .

In Fig. 6.44, the side QR of PQR is produced to a point S. If the bisectors of /_P Q R and /_P R S meet at point T, then prove that /_Q T R=1/2/_Q P R .