The bisector of interior /A of A B C me...

The bisector of interior `/_A` of ` A B C` meets `B C` in `D ,` and the bisector of exterior `/_A` meets `B C` produced in `Edot` Prove that `(B D)/(B E)=(C D)/(C E)dot`

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B D and C E are bisectors of /_B and /_C of an isosceles A B C with A B=A Cdot Prove that B D=C Edot

In a parallelogram A B C D , the bisector of /_A also bisects B C at Xdot prove that A D=2A Bdot

In a parallelogram A B C D , the bisector of /_A also bisects B C at X . Prove that A D=2A B .

A B C D is a parallelogram. A D is a produced to E so that D E=D C and E C produced meets A B produced in Fdot Prove that B F=B Cdot

In figure /_A C B=90^@ and C D_|_A B . Prove that (B C^2)/(A C^2)=(B D)/(A D) .

In triangle A B C , if A D is the bisector of /_A , prove that: (A r e a( A B D))/(A r e a( A C D))=(A B)/(A C)

In a quadrilateral A B C D , if bisectors of the /_A B Ca n d/_A D C meet on the diagonal A C , prove that the bisectors of /_B A Da n d/_B C D will meet on the diagonal B Ddot

In a parallelogram A B C D , the bisectors of /_A\ a n d\ /_B meet at Odot Find /_A O Bdot

The side B C\ of a A B C is produced, such that D is one ray B Cdot The bisector of /_A meets B C in L as shown in Figure. Prove that /_A B C+/_A C D=2/_A L C

NAGEEN PRAKASHAN ENGLISH-TRIANGLES -Exercise 6a

Da n dE are respectively the points on the side A Ba n dA C of a A B ...
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In a A B C , D and E are points on the sides A B and A C respective...
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In Fig. if P Q|| B C and P R|| C D . Prove that (i) (A R)/(A D)=(A...
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In the given figure DE||AC and DC||AP. Prove that (BE)/(EC) = (BC)/(C...
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In a A B C ,D and E are points on sides A B a n d A C respectively su...
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In A B C ,\ D and E are points on sides A B and A C respectively ...
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In the given figure, if DE||AQ and DF||AR. Prove that EF||QR.
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In the given figure A, B and C are points on OP, OQ and OR respectivel...
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Prove that the diagonals of a trapezium divide each other proportional...
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In triangleABCthe bisector of angleB meets AC at D. A line PQ||AC meet...
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The diagonals of a quadrilateral ABCD intersect each other at the poi...
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In the given figure AD is the bisector of angleA. If BD= 4 cm , DC = 3...
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The bisector of interior /A of A B C meets B C in D , and the bisecto...
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A D is a median of A B C . The bisector of /A D B and /A D C meet A B...
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If the bisector of an angle of a triangle bisects the opposite side...
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D ,\ E and F are the points on sides B C ,\ C A and A B respectivel...
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If the diagonal BD of a quadrillateral ABCD bisects both angleB and an...
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Prove that the line segments joints joining the mid-points of the a...
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In figure, P is the mid-point of B C ,Q is the mid-point of B C ,Q is ...
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In Figure, A B C D is a parallelogram in which P is the mid-point of D...
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