Is it geometry II?

Geometry Level 5

Let \(x\), \(y\) and \(z\) be positive real numbers such that: \[\begin{cases} x^2+xy+y^2=25 \\ y^2+yz+z^2=144 \\ z^2+zx+x^2=169 \end{cases}\] Compute the value of \({ \left( xy+yz+zx \right) }^2\)

×

Problem Loading...

Note Loading...

Set Loading...