Question

check whether 6'8'10 forms pythogorean triplets or not

Answer 1

6^2 = 36 -------(1)

8^2 = 64 --------(2)

10^2 = 100 -------(3)


On adding equation 1 and 2, we get

6^2 + 8^2 = 36 + 64 = 100 -------(4)

On Comparing equation (4) and (3),we get

6^2 + 8^2 = 10^2

So,

6, 8 and 10 are pythagoreon triplet.

Answer 2

We can check that using the following method:
Given angles, 6' 8' 10'
So 6'+8'=14' > 10'
8' + 10'=18' > 6'
and10'+6'=16'>8'
also, 10-6'=4'<8'
10'-8'=2'<6'
and 8'-6'=2'<10'
so the given pair of angles forms Pythagorean triplets
Hence proved
hope this helps