In an isosceles triangle ,

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

In an isosceles triangle ABCABC, AC=BCAC = BC. Point DD is the midpoint of ABAB. (i) List the three pairs of equal sides between △ACD\triangle ACD and △BCD\triangle BCD. (ii) Prove that △ACD≅△BCD\triangle ACD \cong \triangle BCD. (iii) Deduce that CDCD is perpendicular to ABAB.

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