Math, asked by devenderneginegi75, 14 days ago

त्रिभुज के चिन्हित स्थानों पर 1,2,3,4,5,6, को इस तरह लिखो जिससे प्रत्येक भुजा का योगफल 12 आये।​

Answers

Answered by RvChaudharY50
7

उतर :-

→ दी हुई संख्याएं है जो प्रयोग करनी है :- 1,2,3,4,5,6

त्रिभुज के चिन्हित स्थान माना A, B, C, D, E और F है l

अब,

  • A + B + C = 12
  • A + D + E = 12
  • C + F + E = 12

  • A = 4
  • B = 2
  • C = 6
  • D = 3
  • E = 5
  • F = 1

देखने पर,

→ A + B + C = 12

→ 4 + 2 + 6 = 12

और,

→ A + D + E = 12

→ 4 + 3 + 5 = 12

और,

→ C + F + E = 12

→ 6 + 1 + 5 = 12

दूसरा संभव मान :-

→ A + B + C = 4 + 3 + 5 = 12

→ A + D + E = 4 + 2 + 6 = 12

→ C + F + E = 5 + 1 + 6 = 12

अत, हम कह सकते है कि, त्रिभुज के चिन्हित स्थानों पर इस प्रकार 1,2,3,4,5,6 लिखने पर हमें प्रत्येक भुजा का योगफल 12 प्राप्त होता है l

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Attachments:
Answered by amitnrw
3

Given : Triangle

numbers 1 to 6 are put at vertex and mid point of sides

Sum of each side of triangle is 12

To Find :   How to place numbers

Solution:

Let say   A , B , C are the the Vertex

and D , E and F are the mid points of AB , BC and AC respectively

A + D + B = 12

B + E + C = 12

A + F + C = 12

Adding all

=> (A + B + C + D + E + F) + A + B + C = 36

A + B + C + D + E + F = 1  + 2 + 3 +  4 +  5 + 6  =  21

=> 21 + A + B + C = 36

=> A + B + C = 15

with given Digits  A + B + C = 15 is only possible

if A , B and C are  4 , 5 and 6 in any order

A = 4   ,  B = 5   C  = 6

A + D + B = 12 =>  D = 3

B + E + C = 12 =>  E =  1

A + F + C = 12 =>  F = 2

Vertex are    4 , 5  , 6

mid points are  3 , 1 , 2

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