Question

Halla la medida del lado de un cuadrado cuya diagonal es de 14 cm​

Answer 1

The length side of the square is
`7√(2)\ cm`

Explanation:

The question in English is

Find the measure of the side of a square whose diagonal is 14 cmd

Let

d ----> the diagonal of a square in cm

b ---> the length side of a square in cm

we know that

Applying the Pythagorean Theorem

see the attached figure to better understand the problem

`d^2=b^2+b^2`

`d^2=2b^2`

we have

`d=14\ cm`

substitute the given value

`14^2=2b^2`

solve for b

`196=2b^2`

`98=b^2`

take square root both sides

`b=√(98)\ cm`

simplify

`b=7√(2)\ cm`