Question

Why a 45 degree triangle has a hypotenuse of root 2 ?

Answer 1

1 And 1 is the Right Answer

Answer 2

let assume a triangle abc right angled at b and the other two angles are 45°.
hence ab = bc.
we know that,
ab^2+bc^2=ac^2
2ab^2=ac^2(ab=bc)
√2ab=ac
hence, hypotenuse(ac) have √2.