Question

Find the side of a square whose diagonal is of the given measure. Given = 15.2 cm

Answer 1

Answer:

15cm

Step-by-step explanation:

First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x $\sqrt{2}$. So, the side length is 15.

Answer 2

Answer:

15cm

Step-by-step explanation:

Each corner of the square would be a 90° angle so half of that would be 45°.

$\sin(45) \times 15 \sqrt{2} = 15cm$