Question: Two triangular pieces of a ceiling design each have side lengths of 9 meters, 40 meters, and 41 meters. The second piece is identical but located on the opposite side of the ceiling. Which congruence criterion can be used to prove that the two triangular pieces of the ceiling design are congruent?
(A) SSS
(B) ASA
(C) RHS
(D) SAS
Solution:
Both triangular pieces have identical side lengths of 9 meters, 40 meters, and 41 meters. Therefore, the triangles are congruent by the SSS (Side-Side-Side) criterion.
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