PQR হল P তে সমকোণ বিশিষ্ট একটি ত্রিভুজ এবং M হল QR এর একটি বিন্দু যেমন `P M_|_Q R`। দেখান যে `PM^2=Q

PQR is a triangle right angled at P and M is a point on QR such that PM perp QR Show that PM^(2)=QM.MR

If P: Q =8.15 and Q:R =3:2 , then find P:Q:R

In Figure, /_Q P R=\ /_P Q R\ a n d\ M\ a n d\ N are respectively on sides Q R\ a n d\ P R of P Q R\ such that Q M=P Ndot Prove that O P=O Q , where O is the point of intersection of P M\ a n d\ Q N

In Figure, /_Q P R=/_P Q R and M and N are respectively on sides Q R and P R of P Q R such that Q M=P N . Prove that O P=O Q , where O is the point of intersection of P M and Q 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

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 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 DeltaP Q R , right-angled at Q (see figure), P Q" "=" "3" "c m" "a n d" "P R" "=" "6" "c m . Determine /_Q P R and /_P R Q