Question 1
Suppose $a,b,c$ are nonzero real numbers such that
$$\frac{a^2}{b^2+c^2}\lt\frac{b^2}{c^2+a^2}\lt\frac{c^2}{a^2+b^2}.$$
Which of the following statements is always true?
$$\frac{a^2}{b^2+c^2}\lt\frac{b^2}{c^2+a^2}\lt\frac{c^2}{a^2+b^2}.$$
Which of the following statements is always true?