<span>its diameter is 16 inches,
</span><span>So, according to the Pythagorean Theorem, for some right triangle with legs of length a, b, and hypotenuse of length c,
then a² + b² = c²
</span>c = 16 inches, and a = b.
<span>a² + a² = 16² </span>
<span>2a² = 256 </span>
<span>a² = 128 </span>
<span>√a² = √128 </span>
<span>a = √128 </span>
<span>a = √(64•2) </span>
<span>a = 8√2 </span>
<span>So, the size is an 8√2 by 8√2 square. </span>
Answer:
4th option (sqrt(10))/2
Step-by-step explanation:
![\frac{5}{\sqrt{10} } * \frac{\sqrt{10}}{\sqrt{10} } \\ \frac{5\sqrt{10}}{10} \\\\frac{\sqrt{10}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B%5Csqrt%7B10%7D%20%7D%20%20%2A%20%20%5Cfrac%7B%5Csqrt%7B10%7D%7D%7B%5Csqrt%7B10%7D%20%7D%20%5C%5C%20%20%5Cfrac%7B5%5Csqrt%7B10%7D%7D%7B10%7D%20%5C%5C%5C%5Cfrac%7B%5Csqrt%7B10%7D%7D%7B2%7D)
You have to be a little more detailed