Question

A SQUARE with side = 14find the diagonal.​

Answer 1

Answer:

14√2

Step-by-step explanation:

A square with a diagonal automatically makes a 45 45 90 triangle (angles) meaning that the two legs are x and the hypotenuse (diagonal) is x√2

If 14 = x then the diagonal is 14√2

You could also solve with the pythagorean theorem

a^2 + b^2 = c^2    so in this case

14^2 + 14^2 = c^2

196 + 196 = c^2

392 = c^2            

√392 = √c^2     the 392 is divisable by 196 so you can divide that out as 14

14√2 = c