Question

A square has sides of length 8.4 . Work out the length of a diagnol of the square . Give your answer correct to 3 significant figures

Answer 1

Answer:

The length of the diagonal is 11.879 units

Step-by-step explanation:

On any rectangle or square, any 2 adjacent sides and the diagonal that connects them makes a right triangle. The diagonal is the hypotenuse of that right triangle, and you can find it using the pythagorean theorem:

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

where a and b are the sides, and c is the diagonal.

$\rightarrow8.4^2+8.4^2=c^2\\\rightarrow70.56+70.56=c^2\\\rightarrow c^2=141.12\\\rightarrow c\approx11.879$