Question

You have a 45, 45, 90 degrees triangle. The hypotenuse is 19, what are the lengths of sides A and B?

Answer 1

they are the hypotenuse divided by the square root of 2

Answer 2

since both angles are equal, both legs are equal
if you call the lengths of the legs \(a\) and the hypotenuse \(h\) then by pythagoras
\[a^2+a^2=h^2\]
\[2a^2=h^2\]
\[h=a\sqrt{2}\]
or if you like
\[a=\frac{h}{\sqrt{2}}\]

Answer 3

thanks