Question

without using pythagorus therom how we can find a side in triangle in trignometry

Answer 1

herons formula or there are more

Answer 2

we can find pythagorean triplet without Pythagoras theorem only when we have given
1 side.

for eg:

we have a side 10
2m = 10
m = 10/2
= 5

m^2 -1 = 5^2 -1
25 - 1
24
one side is 24

m^2 + 1 = 25 + 1
= 26
another side is 26
so we got Pythagorean triplets
24,10,26
you can check with Pythagoras theorem