Consider ( ABC ) in which (AB = AC )

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

Consider △ABC\triangle ABC in which AB=ACAB = AC. (i) Define an isosceles triangle. (ii) State the relation between the angles opposite the equal sides of an isosceles triangle and justify your statement by referring to congruent triangles. (iii) If ∠B=58∘\angle B = 58^\circ, find ∠C\angle C. (iv) Explain why ∠A\angle A cannot be equal to ∠B\angle B or ∠C\angle C in this triangle.

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