Question

In triangles ABC and CDE, if AC = CE, BC = CD, $\angle A={60}^{\circ },\angle C={30}^{\circ }and\angle D={90}^{\circ }$

Are two triangles congruent?

Answer 1

Yes, triangles are congruent because,

In $\Delta ABC,and\Delta CDE,$

AC = CE

BC = CD

$\angle C={30}^{\circ }$

$\therefore \Delta ABC\cong \Delta CDE\text{(SAS axiom)}$