# Just a rectangle

**Geometry**Level 3

A rectangle is inscribed in a triangle with sides equal to \(10cm,17cm\) and \(21cm\) so that two of its vertices are situated on one side of the triangle , and two others on other two sides of the triangle .Find the sides of the rectangle if it is known that its perimeter is \(22.5cm\).

If your answer come as \(a\) cm and \(b\) cm , submit it as descending order of their digits (excluding decimal) in a single linear order.