Question 7
Let $x,y$ and $z$ be positive real numbers such that
$$\sqrt{16-x^2}+\sqrt{25-y^2}+\sqrt{36-z^2}=12.$$
If the sum of $x,y$ and $z$ is 9, find their product.
$$\sqrt{16-x^2}+\sqrt{25-y^2}+\sqrt{36-z^2}=12.$$
If the sum of $x,y$ and $z$ is 9, find their product.