Is an isosceles triangle with

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

Problem

△ABC\triangle ABC is an isosceles triangle with AB=ACAB = AC. Altitude ADAD is drawn to the base BCBC, meeting BCBC at DD. If BD=4 cmBD = 4\,\text{cm} and AB=AC=10 cmAB = AC = 10\,\text{cm}, answer the following questions: (a) Prove that △ABD≅△ACD\triangle ABD \cong \triangle ACD. (b) Using the result of part (i), determine the length DCDC. Show all working.

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