Prove that the altitude drawn from any vertex of an equilateral triangle bisects the opposite side
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The Arthashastra is an Indian treatise on politics, economics, military strategy, the function of the state, and social organization attributed to the philosopher and Prime Minister Kautilya (also known as Chanakya, Vishnugupta, l. c. 350-275 BCE) who was instrumental in establishing the reign of the great
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If the altitude from one vertex of a triangle bisects the opposite side, then the triangle is isosceles. GIVEN : A ABC such that the altitude AD from A on the opposite side BC bisects BC i.e., BD=DC. TO PROVE : AB=AC i.e. the triangle ABC is isosceles. ABC is isosceles.
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