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BD is the disector of angle ABC. From a ...

BD is the disector of angle ABC. From a point P in BD, perpendiculars PE and PF are drawn to AB and BC respectively, prove that :
(i) Triangle BEP is conguent to triangle BFP (ii) PE=PF.

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The correct Answer is:
(i) `x=45, y=87` (ii) `x=75, y=16`
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NAGEEN PRAKASHAN ENGLISH-TRIANGLES-Exercise 7a
  1. In a DeltaABC, D in mid-point of BC, AD is produced upto E so that DE=...

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  2. In the given figure, AB = DB and AC = DC. If angle ABD = 58^(@), angle...

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  3. BD is the disector of angle ABC. From a point P in BD, perpendiculars ...

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  4. Given a DeltaABD in which AB=AD and AC bisects BD. Prove that : Delt...

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  5. In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove...

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  6. In quadrilateral ABCD, AB=DC and AD=BC. Prove that the sides AB and DC...

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  7. In DeltaABC, AB = AC and the bisectors of angleB and angleC meet AC an...

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  8. In DeltaABC, angleB= angleC. Prove the perpendiculars from the mid-poi...

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  9. Find the value of x and y in each of the following figures containing ...

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  10. In the adjoining figure, angleBAC=angleBDC and angleABC=angleBCD. Prov...

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  11. In the adjoining figure, ABCD is a quadrilateral. M and N are the poin...

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  12. Given AD=DC and DB biscets angleADC. (i) Prove that, DeltaADB cong D...

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  13. The adjoining figure shows a square ABCD and an equilateral triangle D...

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  14. Equilateral triangles ABD and ACE are drawn on sides AB and AC respect...

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  15. The following figure shows a square ABCD and an equilateral triangle D...

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  16. The given figure shows a parallelogram ABCD. Squares ABPQ and ADRS are...

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  17. In a Delta ABC, BD is the median to the side AC, BD is produced to E s...

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  18. In the given figure, angleBDC=angleBEA and AB = BC. Show that AE=CD.

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  19. If the diagonals of a quadrilateral bisect each other at right angle, ...

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  20. In the adjoining figure, BM and DN are the perpendiculars from B and D...

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