Question

A square has a side length of 4 centimeters. What is the length of the diagnol of the square? What is the length from the corner to the center of the square? Explain

Answer 1

Answer:

$4 \sqrt{2}$

Step-by-step explanation:

A square has 4 equal sides.

When you draw a diagonal line in the square, it creates two triangles.

The two sides of the triangle would be 4 and the hypotenuse would be the diagonal.

To find the hypotenuse you use

$a {}^{2} + b {}^{2} = c {}^{2}$

So

$4 {}^{2} + 4 {}^{2} = c {}^{2}$

Solve

$16 + 16 = c {}^{2} \\ 32 = c {}^{2} \\ \sqrt{32} = c \\ c = 4 \sqrt{2}$