Need help at Special Triangles, Trigonometry

[shy herald]

How long is the diagonal of a square if its side is √6?

[dire barn]

6

[chilly karma]

the sides of the square are always equal. so you'll have...

[dire barn]

i think

yeah pythagoras

so its a2+b2=c2

(root6)^2+(root6)^2 which is 36

then your square root 36

[chilly karma]

noooo

[dire barn]

giving you 6

is it

not

[chilly karma]

which is 6+6 = 12

therefore,
let d= diagonal
(sqrt(6))² + (sqrt(6))² = d²
6 + 6 = d²
12 = d²
d = sqrt(12)

also, another formula is...

[chilly karma]

only applicable on squares

we have a different formula for rectangles since it doesn't have equal sides

[chilly karma]

'a' is the given side of the square

[shy herald]

is what I did correct @chilly karma @dire barn

actually ill label ''a'' as √6

[chilly karma]

yes this is correct!

[dire barn]

damn

[shy herald]

thanks thanks guys

our teacher is very strict