Question

write a pythagorean triplets whoes smallest member is 8 and verify your answer

Answer 1

Hey !!

Here is your answer,..

PYTHAGOREAN TRIPLET :-

- It is the set of three number which follow the rules of Pythagoras Theorem.

If { a,b,c } is a Pythagorean triplet then
a^2 = b^2 + c^2
b^2 = a^2 + c^2 or....
c^2 = b^2 + a^2


Now,
Find triplet....

==>>
Let 2n = 8
n = 8/2
n = 4

==>>
largest number of triplet = 4n + 1
whereas n = 4
so, 4(4) + 1
= 16 + 1
= 17

==>>
Another number of triplet = 4n - 1
= 4(4) - 1
= 16 - 1
= 15

8 is the smallest number.

So, triplet = 8^2+15^2=17^2


Verification ==>>

= 8^2+15^2
= 64 + 225
= 289
= 17^2

so, answer is verified.
that 8^2+ 15^2=17^2

Hope it helps you...
Thanks...

Answer 2

Answer:

15, 17

Step-by-step explanation:

8^2+15^2=17^2

64+225=289

289=289

Hence Verified