![]() ![]() If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent. ![]() If two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. Side-Angle-Side (SAS) congruence postulate: If they are congruent, state which theorem suggests they are congruent (SAS, ASA, SSS, AAS, HL) and write a congruence statement. Right triangles – one angle measures exactly 90°.Equilateral triangles – all angles measure 60°.Obtuse triangles – one angle measures between 90° and 180°.Acute triangles – all angles measures less than 90°.Solve the problems on HL congruence of triangles.Solve the problems on SAS congruence of triangles.Understand and apply the HL congruence theorem. jG Would you use SSS or SAS to prove the triangles congruent.Identify the properties of right triangles.Understand and apply the SAS congruence postulate.Area (A) ½ ab sin C, here a 10, b 16, C 55°. Solution: As the given triangle is an SAS triangle, we will use the formula. Let’s consider an example: Consider D A B and D C B in which B A B C and A D D C are given. In a Δ ABC, if AB = AC and ∠B = 70°, find ∠A. Let us solve an example using the above formula. Once it is shown that two triangles are congruent using one of the above congruence methods, we also know that all corresponding parts of the congruent triangles are congruent (abbreviated CPCTC). ![]()
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