Question

Find the Pythagorean triplet whose one number is 10

Answer 1

Answer:

10,26 & 23

Step-by-step explanation:

2m= 10

m= 5

so

m^2+1=26

and other no is

m^2-1= 23

Answer 2

To Find:

The Pythagorean triplet whose one number is 10

Solution :

As we know, Pythagorean triplet is a set of three numbers, in which , The two smaller number square makes the sqaure of bigger number as,

if, A,B and C are three elements of Pythagorean triplet and A>B and , A>C , then

A² = B²+C²

Now, coming Back to the question :

Let's take that , the biggest number in triplet is 10 so, :

10² = B²+C²

or, 100 = B²+C²

Now, if we take a look on the squares of number from 1 to 9 , these are :

• 1² = 1
• 2² = 4
• 3² = 9
• 4² = 16
• 5² = 25
• 6² = 36
• 7² = 49
• 8² = 64
• 9² = 81

so, as we can see only two pair make a sum divisible by 10 as,

(4,16);(36,64)

• 4+16 = 20
• 64+36 = 100

but, only the pair, 36 and 64 can make a sum of hundred .

So, 100 = 36+64

or, 10² = 6²+8²

so, the triplet is, 6,8, and 10