## Triangles $$ABC$$ and $$DEF$$ are similar right triangles. If the hypotenuse of triangle $$DEF$$ has a length of $$20,$$

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### Triangles $$ABC$$ and $$DEF$$ are similar right triangles. If the hypotenuse of triangle $$DEF$$ has a length of $$20,$$

by Vincen » Tue Aug 17, 2021 6:42 am

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## Global Stats

Triangles $$ABC$$ and $$DEF$$ are similar right triangles. If the hypotenuse of triangle $$DEF$$ has a length of $$20,$$ what is the length of the hypotenuse of triangle $$ABC?$$

(1) The ratio of the perimeter of $$ABC$$ to the area of $$ABC$$ is the reciprocal of the ratio of the perimeter of $$DEF$$ to the area of $$DEF.$$
(2) One of the legs in triangle $$DEF$$ has a length of $$12.$$