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In a triangle O A B ,\ /A O B=90^0dot If...

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`

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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 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\ a n d\ /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0 .

In a right triangle A B C right-angled at B , if P a n d Q are points on the sides A Ba n dA C respectively, then (a) A Q^2+C P^2=2(A C^2+P Q^2) (b) 2(A Q^2+C P^2)=A C^2+P Q^2 (c) A Q^2+C P^2=A C^2+P Q^2 (d) A Q+C P=1/2(A C+P Q)dot

In Figure, A B C is a right triangle right angled at B and points Da n dE trisect B C . Prove that 8A E^2=3A C^2+5A D^2dot

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

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

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

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