5. Proving Triangle Congruence by SSS
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Which properties can be used to show that the hypotenuses are congruent?
See solution.
Note that HS is shared by both △ HFS and △ STH. Thus, by the Reflexive Property of Congruence, this side is congruent to itself between the triangles. Since we have three pairs of congruent corresponding sides, by the Side-Side-Side Congruence Theorem, △ HFS ≅ △ STH.
Note that HS ≅ FT. Since we have three pairs of congruent corresponding sides, by the Side-Side-Side Congruence Theorem, △ HFS ≅ △ FST. Thus, by the Transitive Property of Conguence, the three triangles are congruent to each other.