If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, ∠C = 75°, DE = 2.5 cm, DF = 5 cm and ∠D = 75°. Are two triangles congruent?

Question

If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, &#x2220; C = 75&#xB0;, DE = 2.5 cm, DF = 5 cm and &#x2220; D = 75&#xB0;. Are two triangles congruent?

Philoid · Accepted Answer

Yes, the given triangles are congruent as AC=DE, BC = DF and ∠D is equal to ∠C. Hence, By SAS theorem triangle ABC is congruent to triangle EDF.