Question

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

Answer 1

Answer:

The length side of the square is $7\sqrt{2}\ cm$

Step-by-step 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

$b=\sqrt{98}\ cm$

simplify

$b=7\sqrt{2}\ cm$