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D is any point on side AC of triangleABC...

D is any point on side AC of `triangleABC` with AB=AC show that CD>BD.

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In Fig. D is a point on side BC of triangleABC such that (BD)/(CD) = (AB)/(AC) . Prove that AD is the bisector of angleBAC .

In fig., D is a point on side BC of triangleABC such that (BD)/(DC)=(AB)/(AC) . Prove that, AD is bisector of angleBAC . .

In fig. D and E are points on side BC of triangleABC such that BD=CE and AD=AE. Show that triangleABDequivtriangleACE

E is any point on median AD of a triangle ABC . Show that ar (ABE) = ar (ACE).

P is any point on base BC of triangleABC and D is the mid-point of the BC. DE is drawn parallel to PA to meet AC at E. If ar(triangleABC)= 12 cm^2 , then find area of triangleEPC

O is any point in the interior of triangleABC such that OB=OC and AB=AC. Show that AO bisects angleA .

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

In the fig. X and Y are respectively two points on equal sides AB and AC of triangleABC such that AX=AY. Prove that CX=BY

In a triangle ABC, D is the mid point of side AC such that BD=1/2AC . Show that angleABC is a right angle.

In the fig. AB=AC , D is the point in the interior of triangleABC such that angleDBC=angleDCB . Prove that AD bisects angleBAC and triangleABC

MODERN PUBLICATION-TRIANGLES-EXERCISE
  1. In trianglesABC and trianglePQR, it is given that AB=AC, angleC=angleP...

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  2. In triangleABC and triangleDEF, it is given that angleB=angleE and ang...

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  3. In triangleABC and triangleDEf, it is given that AB=DE and BC=EF in or...

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  4. If triangleABCequivtriangleLKM, then which side of triangleLKM equal ...

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  5. If triangleABC and PQR if angleA=angleR, angleB and angle P and AB=RP,...

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  6. In trianglePQRequivtriangleEFD, then angleE=

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  7. In an isosceles triangle, if the vertex angle is equal to the sum of t...

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  8. Which of the following is not true

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  9. In triangleABC, AB=AC and angleA=100^@, find angleB and angleC.

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  10. In trianglePQR what is the value of x

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  11. O is any point in the interior of triangleABC such that OB=OC and AB=A...

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  12. In triangleABC,angleB=35^@,angleC=65^@ and the bisector of angleBAC me...

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  13. ABC is an isosceles triangle with AB = AC and AD is one of its altitud...

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  14. CDE is an equilateral triangle formed on a side CD of a square ABCD(se...

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  15. CDE is an equilateral triangle formed on a side CD of a square ABCD(se...

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  16. D is any point on side AC of triangleABC with AB=AC show that CD>BD.

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  17. Bisectors of angles B and C of an isoscels triangles ABC with AB=AC in...

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  18. ABC is a right angled with AB=AC. Bisector of angleA meets BC at D. pr...

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  19. O is a point in the interior of a square ABCD such that OAB is an equi...

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  20. In a triangle ABC, D is the mid point of side AC such that BD=1/2AC. S...

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