# 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.

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