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Mathematics

In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then △ABC is congruent to:

  1. △FED

  2. △EFD

  3. △DEF

  4. △FDE

Triangles

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Answer

In △ABC and △EFD,

⇒ AB = EF (Given)

⇒ AC = DE (Given)

⇒ ∠C = ∠D (Both equal to 90°)

∴ △ABC ≅ △EFD (By R.H.S axiom)

Hence, option 2 is the correct option.

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