रविवार, सितंबर 18, 2016

Triangle and its types and defination in hindi


                 Trigonometry - 2

Hello friends ! Maine apne last post Trigonometry ka basic concept in hindi  me triangle k baare me short me kuch chije batayi thi.Aaj mai triangle k baare me details me bataunga. Agar aap triangle k baare acche se details me jaanana chhahate hai to iss post ko pura read kare. 
Triangle me hum jaanege ki-:
  • Triangle kya hai ?
  • Triangle k kitane types hote hai?
  • Sides k basis par triangle kitne types k hote hai?
  • Angle k basis par triangle k kitane types hote hai ?
Etc.
【Note-: Ye  sab k alawa koi oar baate jo aap triangle k baare me jaanana chahate hai .Mujhe comment kare .Mai issi post aapk  name sahit iss post me add kar dunga.】


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Chaliye ab aage badate hai, to friends first question hai ki-:

Q-1. Triangle kya hai?

(What is triangle ?)

Friends Triangle ek aisa shape hai jisme 3 line segment hote hai . Ye line segment ek dusre se attached hote hai.
Means triangle 3 line segment se plane par banaya gaya ek close shape hai.
Agar aap simple language me kahe to -
" triangle ek aisa shape hai jisme 3 lines ek dusre se judi (attached) rahati hai."
                           Or
" Wo shape jisme only 3 angles ho , triangle  kahalata hai."

Triangle ko " ∆ "  se denote karte hai.

Niche ek triangle ka image diya gaya hai
Some important points of triangle-:
Uppar diye gaye image me triangle ko aap dhyaan se dekhe. Uppar diye triangle k anusaar triangle k some important points hote hai. Jo iss prakaar hai-:
1. Uppar image k triangle ABC ko
      hum ∆ABC se denote karte hai.
2. ∆ABC me 3 sides hai -:
      AB , BC and CA
3. Iss triangle me 3 corners hai-: A,
    B and C. Inn corners ko hum vertices kahate hai.
Hindi me vertices ko " Shirsh" (शीर्ष)  kaha jata hai.
4. Triangle me 3 angle hote hai-:
    /_ A , /_B  and  /_C
5. Kisi bhi triangle k sabhi 3 Angeles      ka sum (Addition) 180° hota hai.
Means , /_A+/_B+/_C = 180°

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Types of triangle-:

 Triangle k types ko hum 2 base (aadhar) par defined kar sakte hai-
(i) Angle k aadhar par  triangle k types
(ii) Sides k aadhar par triangle k types

(i) Angle k aadhar par triangle k types-:

Friends"angle k aadhar" par triangle k 3 types hote hai -
(a) Acute angled triangle
(b) Right angled triangle
(c) Obtuse angled triangle

(a) Acute angled triangle-:

Acute angled triangle ko hindi me " nyunkon tribhuj" ("न्यूनकोण त्रिभुज ") kahate hai.
Defination of "acute angled triangle" -:
Wo triangle jisme sabhi angle 90° se less  ho, matalab 90° se kam ho. To aise triangle ko hum "acute angled triangle" kahate hai.

For example-:


Acute angled triangle

Niche diye triangle ko dekhe-:
∆ABC me hum dekhate hai ki -:
/_ A = 60°
/_B = 65°
/_C = 70°
∆ABC ka  sabhi angle 90° se less hai. Isliye ∆ABC ek Acute angled triangle hai.


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(b) Right angled triangle-:

 Right angled triangle ko hindi me "samkon tribhuj"(समकोण त्रिभुज)  kahate hai.
Defination of "Right angled triangle"-:
Wo triangle jisme koi ek angle 90° ho, to aise triangle ko "right angled triangle" kahate hai.

For example-:
Niche diya triangle dekhe.

Right angled triangle

∆ABC me ,  /_ C = 90°
Isliye ∆ABC , ek Right angled triangle  hai.

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(c) Obtuse angled triangle-:

Obtuse angled triangle ko hindi me "Adhik kon tribhuj"(अधिककोण त्रिभुज)
kahate hai.
Defination of  "Obtuse angled triangle"-:
Wo triangle jisme koi   ek angle 90° se greater ho . Means 90° se big ho. To uss triangle ko hum " obtuse angled triangle" kahate hai.

For example-:


Obtuse angled triangle

∆ABC me ,
/_C = 120°
Isliye ∆ABC ek obtuse angled triangle hai.

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(ii) Sides k aadhar par triangle k types-:

Friends, jaisa ki hum jaante hai ki triangle me 3 sides hote hai. Sides k basis (aadhar) par triangle k 3 types hote hai-:
(a) Equilateral triangle
(b) Isosceles triangle
(c) Scalene triangle


(a) Equilateral triangle-:

Equilateral triangle ko hindi me "sambaahu tribhuj" (समबाहु त्रिभुज) kahate hai.
Defination of equilateral triangle-:
Wo triangle jiska sabhi 3 sides equal  ho aor sabhi 3 angles 60°- 60° k ho , to aise triangle ko "equilateral triangle" kahate hai.
For example-:


Equilateral triangle


Upper diye triangle me,
Sides-           AB = BC = CA
Angles-      /_A = /_B = /_C = 60°
Isliye upper diya ∆ABC ek equilateral triangle hai.

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(b) Isosceles triangle-:

Isosceles triangle ko hindi me " samadvibaahu tribhuj" kahate hai.
Defination of isosceles triangle-:
Wo triangle jisk koi bhi 2 sides equal and inn 2 sides se banaya angle equal  ho. To aise triangle ko "isosceles triangle" kahate hai.
For example-:


Isosceles triangle

∆ABC me ,         AB = BC
      and             /_B = /_C

Isliye diya ∆ABC ek isosceles triangle hai.

(c) Scalene triangle-:

Scalene triangle ko hindi me "vishamabaahu tribhuj"(विषमबाहु त्रिभुज) kahate hai.
Defination of scalene triangle-:
Wo triangle jisk sabhi  3 sides equal nhi  ho , to aise triangle ko " scalene triangle" kahate hai.
For example-:

∆ABC me ,
Sides -:   AB , BC and CA equal nhi hai. Isliye ye ∆ABC ek scalene triangle hai.

Bas dosto aaj k iss "Triangle and its types and defination" k iss post me itana hi.
Aapko ye post kaisa laga ? Mujhe jarur bataye.
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Thanks for visiting and reading!
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24 टिप्‍पणियां:

  1. triangle Ki sides 5,7 and 3 dia hai to sab se bada angle kya hoga ??

    जवाब देंहटाएं
    उत्तर
    1. Suppose karte hai -:
      Ek triangle ABC me -
      AB = c = 3
      BC = a = 5
      AC = b = 7
      AB² = 9 , BC² = 25 and AC² = 49
      and hum jaante hai ki-:
      AC² > AB²+BC²
      ho to triangle triangle" Obtuse angled triangle hota hai.

      Matalab diya gaya triangle " Obtuse angles triangle hai.

      and issue triangle ka bada angle B hoga.
      and
      Angle B = Cos B

      Formula -:

      Cos B = [c²+a² - b²] ÷ [2ac]

      formula me a,b,c ki value rakhe -:
      Cos B = [9+25-49]÷30
      CosB = -1/2
      = Cos 120°

      B = 120° ans.

      हटाएं
  2. equilateral angle'isosclence angle' scalene angle ki English main definition bataye.

    जवाब देंहटाएं
  3. equilateral angle'isosclence angle' scalene angle ki English main definition bataye.

    जवाब देंहटाएं
  4. I like your article sir
    and i wanna give a lots of thanks sir for this prices kind of article sir
    actually sir i m not fully perfect in english as well as hindi
    whatever i search that is either fully english or fully hindi
    But sir you havr made such kinds of aricle that elixir for me kind of students .
    thanks once again sir

    जवाब देंहटाएं