Math, asked by itsbhatttnation, 22 days ago

The two numbers of a Pythagorean triplet are 100 and 2499. Find the third number of this Pythagorean
triplet

Answers

Answered by Abhiram5566
6

Given:-

1 number is  100

2nd number is 2499

To Find:-

Third number using Pythagorean triplet method

Note:-

Pythagorean triplet will be in form  m^{2} -1 , 2m , m^{2}+1

Explanation:-

⭐⭐ To find m, lets take 100 as 2m ⭐⭐

⇒ 2m = 100

⇒ m = \frac{100}{2}

m = 50

  • We know 2nd number which is 2499

⭐⭐ lets take 2499 as  m^{2} -1 ⭐⭐

m^{2} -1 = 2499

m^{2} = 2499 + 1

m^{2} = 2500

⭐⭐ we know value of m, so lets put value of m in equation ⭐⭐

50^{2} = 2500

2500 = 2500

⇒ so m^{2} -1 = 2499

--------------------------------------------------------------------------------------------------------------

lets find out value of m^{2} +1\\

50^{2} +1

⇒ 2500 + 1

⇒ 2501

So the Third number of Pythagorean Triplet is 2501

∴ 2499, 100, 2501 are Pythagorean Triplet

Hope It Helps You ✌

Answered by anchitjindal09
0

Answer:

thanks

Step-by-step explanation:

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