Triangle DEF is congruent to triangle GHI. Side EF measures 52. Side GH measures 10x – 13. Side HI measures 12x – 16. Find the value of x.

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Triangle DEF is congruent to triangle GHI. Side EF measures 52. Side GH measures 10x – 13. Side HI measures 12x – 16. Find the value of x.

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Corresponding sides of congruent triangles are congruent.
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Other answers:

You need a side of triangle DEF and a side of triangle GHI that are both corresponding, and that you have a given length (even if the length includes x). Can you name two such sides?

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