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gixq dI dunIE~ iv@c quh`f` suE`gq hY

gixq dI dunIE~ iv@c quh`f` suE`gq hY. cqurBuj dIE~ iksm~ Eqy KyqrPl. ivnod kumwr Srmw ssss GufwxI klW , luiDAwxw. ivSw - gixq jmwq - A`TvIN. S`iml vsqUE~.

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gixq dI dunIE~ iv@c quh`f` suE`gq hY

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  1. gixq dI dunIE~ iv@c quh`f` suE`gq hY

  2. cqurBuj dIE~ iksm~ Eqy KyqrPl ivnodkumwrSrmw ssssGufwxIklW, luiDAwxw ivSw - gixq jmwq - A`TvIN

  3. S`iml vsqUE~ 1.cqurBuj 2.cqurBuj dy c`r kox 3.c`r kox` d` joV 4.cqurBuj dy ivkrn 5.cqurBuj dIE~ iksm~ 6.smlMb 7.smlMb d` KyqrPl 8.sm~qr cqurBuj 9.sm~qr cqurBuj d` KyqrPl 10.smcqurBuj 11. smcqurBuj d` KyqrPl 12. E`ieq 13. E`ieq d` KyqrPl 14. vrg 15. vrg d` KyqrPl 16. cqurBuj~ iv@c sbMD

  4. cqurBuj cqurBuj : c`r Buj`v~ n`l iGry ql nMU cqurBuj E`Kdy hn | ijvyN: ic@qr iv@c Buj`v~ AB, BC, CD Eqy DA ny ie@k ql nMU GyirE` hoieE` hY| ies leI ABCD ie@k cqurBuj hY | D A B C

  5. cqurBujnhIN id@qy hoey ic@qr ivc AB,BC,CD Eqy AE c`r ryK` KMf hn pr ieh iksy ql nMU Gyr nhIN sky| ies leI ieh c`r ryK` KMf cqurBuj nhIN bx`auNdy E A D B C

  6. cqurBuj sbMDI kuJ q@Q A D cqurBuj dy c`r kox huMd hn| ijvy id@qy hoey cqurBuj ABCD iv@c c`r kox hn| B C A B C Eqy D , ,

  7. 0 A + B C D = 360 + + A D B C 1) cqurBuj dy c`r kox~ d` joV 360˚huMd` hY | ijvyN cqurBuj ABCD iv@c cqurBuj sbMDI kuJ q@Q

  8. cqurBuj dy do ivkrn huMdy hn |ijvyN: id@qy hoey cqurBuj ABCDiv@c AC Eqy BD do ivkrn hn | cqurBuj sbMDI kuJ q@Q A D B C

  9. cqurBuj dIE~ kuJ K`s iksm~ smlMb cqurBuj sm~qr cqurBuj smcqurBuj E`ieq vrg

  10. smlMb cqurBuj auh cqurBuj ijs dIE~ snmu@K Buj`v~ iv@c ie@k joVI sm~qr hovy q~ smlMb cqurBuj EKv`audN` hY | ijvyN cqurBuj ABCD iv@c AD || BC hY | ies leI ieh smlMb cqurBuj hY | A D C B AD || BC

  11. A A D h E C B smlMb cqurBuj d` KyqrPl smlMb cqurBuj d` ABCD d` KyqrPl = 1/2 × sm~qr Buj`v~ d` joV × lMb = 1/2×(AD + BC)×AE = 1/2×(b1 + b2)×h b1 A D C B b2

  12. sm~qr cqurBuj jykr cqurBuj dIE~ Buj`v~ dy dovyN snmu@K joVy sm~qr hox q~ ieh sm~qr cqurBuj EKv`audIN hY | ijvyN cqurBuj ABCD iv@c A D AD || BC AB DC || B C

  13. A j~ E A E sm~qr cqurBuj d` KyqrPl A D D A C B B C sm~qr cqurBuj ABCD d` KyqrPl = ED`r × lMb =BC × AE sm~qr cqurBuj ABCD d` KyqrPl = ED`r × lMb = CD × AE

  14. smcqurBuj jykr cqurBuj dIE~ E`hmxy-s`hmxy v`lIE~ Buj`v~ sm~qr hox Eqy s`rIE~ Buj`v~ sm`n hox q~ ies cqurBuj nMU smcqurBuj E`Kdy hn| ijvyN:id@qI hoeI cqurBuj ABCD iv@c Buj`v~ AB,BC,CD Eqy DA sm`n hn Eqy AB || CD Eqy BC || AD A D B C

  15. A B C E smcqurBuj d` KyqrPl sm~qr cqurBuj ABCD d` KyqrPl = ED`r × lMb = BC × AE A D B C

  16. 0 90 E`ieq jyykr sm~qr cqurBuj d` ie@k kox 900 d` hovy q~ sm~qr cqurBuj E`ieq bx j~dI hY | ijvyN ABCD ie@k E`ieq hY | A D B C

  17. E`ieq d` KyqrPl E`ieq l A D E`ieq ABCD d` KyqrPl = lMb`eI × coV`eI =AD×AB = l × b b B C

  18. 0 90 vrg • jykr ie@k smcqurBuj d` ie@k kox 900 d` hovy q~ ieh cqurBuj vrg EKv`auNd` hY | j~ • jykr ie@k E`ieq dIE~ l`gvIE~ Buj`v~ sm`n hox q~ ieh vrg EKv`auNd` hY | • ijvyN: id@q` hoieE` cqurBuj ABCD ie@k vrg hY | A D B C

  19. A D C B vrg d` KyqrPl l vrg d` KyqrPl = Buj` × Buj` =AD×AB = l × l = l 2 l

  20. cqurBuj smlMb E`ieq sm~qr smcquBuj vrg cqurBuj~ iv@c sbMD

  21. pRSn`vlI • cqurBuj iks nMU E`Kdy hn ? • smlMb cqurBuj d` KyqrPl ikMn` hMd` hY ? • E`ieq iks nMU E`Kdy hn ? not : - auqr leI s`hmxy btn qy kil@k kro|

  22. 1. auqr :- cqurBuj : c`r Buj`v~ n`l iGry ql nMU cqurBuj E`Kdy hn |

  23. 2. auqr: - smlMb cqurBuj d` KyqrPl = 1/2 × sm~qr Buj`v~ d` joV × lMb

  24. 3. auqr: -jyykr sm~qr cqurBuj d` ie@k kox 900 d` hovy q~ sm~qr cqurBuj E`ieq bx j~dI hY |

  25. pusqk sUcI 1. pMj`b skUl isiKE` borf duE`r` j`rI ET@vIN jm`q dI gixq dI pusqk 2. w.w.w.google.com

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