In a triangle `O A B ,/_A O B=90^0dot` If `P` and `Q` are points of trisection of `A B ,` prove that `O P^2+O Q^2=5/9A B^2`

In a triangle O A B ,\ /_A O B=90^0dot If P\ a n d\ Q are points of trisection of A B prove that O P^2+O Q^2=5/9A B^2dot

In a triangle OAB,/_AOB=90^(0) .If P and Q are points of trisection of AB prove that OP^(2)+OQ^(2)=(5)/(9)AB^(2)

In a triangle OAB, angle AOB = 90^ @ . If P and Q are the points of trisection of AB, prove that OP^2 + OQ^2= 5/9 AB^2 .

In a triangle OAB,/_AOB=90^(@) .If P and Q are points of trisection of AB, prove that OP^(2)+OQ^(2)=(5)/(9)AB^(2)

If P, Q are the points of trisection of A(1, -2), B(-5, 6) then PQ =

In a triangle A B C , N is a point on A C such that B N_|_A C . If B N^2=A N N C , prove that /_B=90o .

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a quadrilateral A B C D ,A O and B O are the bisectors of A/_ and /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In quadrilateral A B C D ,\ A O\ a n d\ B O are the bisectors of /_A\ a n d\ /_B respectively. Prove that /_A O B=1/2(/_C+/_D)dot

In a triangle A B C ,/_A B C=/_A C B and the bisectors of /_A B C and /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0