Answer the following questions about the idea of an included angle within a triangle.

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

Answer the following questions about the idea of an included angle within a triangle. (i) Define the term "included angle" with reference to the two sides of a triangle. (ii) In △ABC\triangle ABC, the lengths of ABAB and ACAC are known. Name the included angle corresponding to these two sides and give a reason for your answer. (iii) A student states, "If two sides of one triangle are equal to two sides of another triangle and any one angle of the first triangle is equal to any one angle of the second triangle, then the two triangles are congruent." Explain, with reason, whether this statement is always true.

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