Question

This is about special triangles and I don't understand I need help

Answer 1

in a 45-45-90 triangle, the sides are the same

you can find the third side using the pythagoran therum

`a^(2) +b^(2) =c^(2)`

but a and b are the same thing, so

`2x^(2) =c^(2)`

if x is the side

so, like in problem 1

`2x^(2) =c^(2)\\2(25^(2)) =c^(2)\\2(625) =c^(2)\\1250 =c^(2)\\c=√(1250)\\c=35.36`

always make sure the hypotnus is longer than the legs