the length of the diagonal of a square whose side is 3 cm is

Question

what will be the answer

Answer 1

the diagonal bisects the two 90º angles

you have a 45-45-90 right triangle (an isosceles right triangle)

the diagonal is always equal to x√2 where x=the length of a side; in this case x=3

the diagonal=3√2 cm

you can verify this using the Pythagorean Theorem

d²=3²+3²

d²=9+9

d²=18

d=√18

d=√(9*2)

d=√9*√2

d=3√2 cm

Answer 2

3√2 cm

approximately 4.23 cm.