7. If the diagonals of a square measure 24
meters, what is the length of a side of the
square?
![7 If the diagonals of a square measure 24 meters what is the length of a side of the square class=](https://us-static.z-dn.net/files/d96/26f921c0877d861c24b085c9cb9610c7.png)
Answer:
Step-by-step explanation:
the diagonal is the hypotenuse of a 45-45-right triangle
the two legs are the same measure so the Pythagoreant theorem
2x²=24 divide by 2
x² = 12 square root
[tex]x = \sqrt{12} \\ \sqrt{4x3} \\2\sqrt{3}[/tex]