In , . Point lies on such that . Answer the following…

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

In △ABC\triangle ABC, AB=ACAB = AC. Point DD lies on BCBC such that AD⊥BCAD \perp BC. Answer the following questions. (i) Prove that △ABD≅△ACD\triangle ABD \cong \triangle ACD. (ii) Using the result of part (i), show that BD=DCBD = DC. (iii) If BC=12 cmBC = 12\,\text{cm}, find the lengths BDBD and DCDC.

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