In triangles ABC and CDE , if AC = CE , BC = CD , ∠ A = 60°, ∠ C = 30° and ∠ D = 90°. Are two triangles congruent?

Question

In triangles ABC and CDE , if AC = CE , BC = CD , &#x2220; A = 60&#xB0;, &#x2220; C = 30&#xB0; and &#x2220; D = 90&#xB0;. Are two triangles congruent?

Philoid · Accepted Answer

Yes, the two given triangles are congruent because AC = CE, BC= CD

And ∠B = ∠D= 90°.

Therefore by SSA criteria triangle ABC is congruent to triangle CDE.

In triangles ABC and CDE, if AC = CE, BC = CD, ∠A= 60°, ∠C= 30° and ∠D = 90°. Are two triangles congruent?